3712790259200 has 480 divisors, whose sum is σ = 10292685020640. Its totient is φ = 1315779379200.

The previous prime is 3712790259181. The next prime is 3712790259239. The reversal of 3712790259200 is 29520972173.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1171595216 + ... + 1171598384.

It is an arithmetic number, because the mean of its divisors is an integer number (21443093793).

Almost surely, 2^{3712790259200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3712790259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5146342510320).

3712790259200 is an abundant number, since it is smaller than the sum of its proper divisors (6579894761440).

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

3712790259200 is a wasteful number, since it uses less digits than its factorization.

3712790259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 47.

The spelling of 3712790259200 in words is "three trillion, seven hundred twelve billion, seven hundred ninety million, two hundred fifty-nine thousand, two hundred".