3736641312 has 36 divisors (see below), whose sum is σ = 10626074550. Its totient is φ = 1245547008.

The previous prime is 3736641301. The next prime is 3736641323. The reversal of 3736641312 is 2131466373.

3736641312 is a `hidden beast` number, since 3 + 7 + 3 + 6 + 641 + 3 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3736641301) and next prime (3736641323).

It can be written as a sum of positive squares in only one way, i.e., 3383050896 + 353590416 = 58164^2 + 18804^2 .

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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6486937 + ... + 6487512.

Almost surely, 2^3736641312 is an apocalyptic number.

3736641312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3736641312 is an abundant number, since it is smaller than the sum of its proper divisors (6889433238).

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

3736641312 is a wasteful number, since it uses less digits than its factorization.

3736641312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12974465 (or 12974454 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 3736641312 is about 61128.0730270471. The cubic root of 3736641312 is about 1551.7692335886.

The spelling of 3736641312 in words is "three billion, seven hundred thirty-six million, six hundred forty-one thousand, three hundred twelve".