3731164856832 has 960 divisors, whose sum is σ = 13305879797760. Its totient is φ = 919683072000.

The previous prime is 3731164856791. The next prime is 3731164856891. The reversal of 3731164856832 is 2386584611373.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 753615957 + ... + 753620907.

It is an arithmetic number, because the mean of its divisors is an integer number (13860291456).

Almost surely, 2^{3731164856832} is an apocalyptic number.

3731164856832 is a gapful number since it is divisible by the number (32) 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 3731164856832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652939898880).

3731164856832 is an abundant number, since it is smaller than the sum of its proper divisors (9574714940928).

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

3731164856832 is a wasteful number, since it uses less digits than its factorization.

3731164856832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053 (or 5030 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 57.

The spelling of 3731164856832 in words is "three trillion, seven hundred thirty-one billion, one hundred sixty-four million, eight hundred fifty-six thousand, eight hundred thirty-two".