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3746325780 = 2232520812921
BaseRepresentation
bin1101111101001100…
…0110010100010100
3100200002101001211200
43133103012110110
530133024411110
61415424432500
7161560146411
oct33723062424
910602331750
103746325780
11165278100a
12886778730
134791c3822
1427779d108
1516dd676c0
hexdf4c6514

3746325780 has 36 divisors (see below), whose sum is σ = 11363855412. Its totient is φ = 999020160.

The previous prime is 3746325733. The next prime is 3746325787. The reversal of 3746325780 is 875236473.

3746325780 is a `hidden beast` number, since 3 + 7 + 4 + 632 + 5 + 7 + 8 + 0 = 666.

3746325780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2903700996 + 842624784 = 53886^2 + 29028^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3746325787) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10406281 + ... + 10406640.

Almost surely, 23746325780 is an apocalyptic number.

3746325780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3746325780 is an abundant number, since it is smaller than the sum of its proper divisors (7617529632).

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

3746325780 is a wasteful number, since it uses less digits than its factorization.

3746325780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20812936 (or 20812931 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 3746325780 is about 61207.2363368908. The cubic root of 3746325780 is about 1553.1086802437.

The spelling of 3746325780 in words is "three billion, seven hundred forty-six million, three hundred twenty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 20812921 41625842 62438763 83251684 104064605 124877526 187316289 208129210 249755052 312193815 374632578 416258420 624387630 749265156 936581445 1248775260 1873162890 3746325780