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3706666670340 = 2232561213364253
BaseRepresentation
bin110101111100000110100…
…011001101100100000100
3111010100112222021121122100
4311330012203031210010
5441212223131422330
611514452534432100
7531540440563224
oct65740643154404
914110488247570
103706666670340
1111a9a96780487
124ba463202630
1320b6ca20559a
14cb59178a084
1566643c21060
hex35f068cd904

3706666670340 has 72 divisors (see below), whose sum is σ = 11245395791448. Its totient is φ = 988282667520.

The previous prime is 3706666670309. The next prime is 3706666670341. The reversal of 3706666670340 is 430766666073.

It can be written as a sum of positive squares in 4 ways, for example, as 417318584004 + 3289348086336 = 646002^2 + 1813656^2 .

It is not an unprimeable number, because it can be changed into a prime (3706666670341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 580347 + ... + 2783906.

It is an arithmetic number, because the mean of its divisors is an integer number (156186052659).

Almost surely, 23706666670340 is an apocalyptic number.

3706666670340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3706666670340 is an abundant number, since it is smaller than the sum of its proper divisors (7538729121108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3706666670340 is a wasteful number, since it uses less digits than its factorization.

3706666670340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370389 (or 3370384 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 54.

The spelling of 3706666670340 in words is "three trillion, seven hundred six billion, six hundred sixty-six million, six hundred seventy thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6121 12242 18363 24484 30605 36726 55089 61210 73452 91815 110178 122420 183630 220356 275445 367260 550890 1101780 3364253 6728506 10092759 13457012 16821265 20185518 30278277 33642530 40371036 50463795 60556554 67285060 100927590 121113108 151391385 201855180 302782770 605565540 20592592613 41185185226 61777777839 82370370452 102962963065 123555555678 185333333517 205925926130 247111111356 308888889195 370666667034 411851852260 617777778390 741333334068 926666667585 1235555556780 1853333335170 3706666670340