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3746316420 = 223657114771
BaseRepresentation
bin1101111101001100…
…0100000010000100
3100200002100121000000
43133103010002010
530133024111140
61415424321300
7161560110210
oct33723040204
910602317000
103746316420
111652774a80
12886773230
134791bc4a2
14277799940
1516dd64a30
hexdf4c4084

3746316420 has 672 divisors, whose sum is σ = 15230509056. Its totient is φ = 751161600.

The previous prime is 3746316407. The next prime is 3746316439. The reversal of 3746316420 is 246136473.

It is a happy number.

3746316420 is a `hidden beast` number, since 3 + 7 + 4 + 6 + 3 + 1 + 642 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 52764985 + ... + 52765055.

It is an arithmetic number, because the mean of its divisors is an integer number (22664448).

Almost surely, 23746316420 is an apocalyptic number.

3746316420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3746316420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7615254528).

3746316420 is an abundant number, since it is smaller than the sum of its proper divisors (11484192636).

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

3746316420 is a wasteful number, since it uses less digits than its factorization.

3746316420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3746316420 is about 61207.1598752956. The cubic root of 3746316420 is about 1553.1073867889.

The spelling of 3746316420 in words is "three billion, seven hundred forty-six million, three hundred sixteen thousand, four hundred twenty".