3712928896512 has 720 divisors, whose sum is σ = 12286185397200. Its totient is φ = 1111502684160.

The previous prime is 3712928896483. The next prime is 3712928896541. The reversal of 3712928896512 is 2156988292173.

3712928896512 is a `hidden beast` number, since 3 + 7 + 1 + 2 + 9 + 28 + 8 + 96 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (3712928896483) and next prime (3712928896541).

It is a super-2 number, since 2×3712928896512² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3712928896512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3288687564 + ... + 3288688692.

It is an arithmetic number, because the mean of its divisors is an integer number (17064146385).

Almost surely, 2^{3712928896512} is an apocalyptic number.

3712928896512 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 3712928896512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143092698600).

3712928896512 is an abundant number, since it is smaller than the sum of its proper divisors (8573256500688).

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

3712928896512 is an frugal number, since it uses more digits than its factorization.

3712928896512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1234 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

It can be divided in two parts, 37129 and 28896512, that added together give a square (28933641 = 5379²).

The spelling of 3712928896512 in words is "three trillion, seven hundred twelve billion, nine hundred twenty-eight million, eight hundred ninety-six thousand, five hundred twelve".