3781607494032 has 200 divisors, whose sum is σ = 11260617590816. Its totient is φ = 1224709922304.

The previous prime is 3781607494031. The next prime is 3781607494073. The reversal of 3781607494032 is 2304947061873.

3781607494032 is a `hidden beast` number, since 3 + 7 + 8 + 160 + 74 + 9 + 403 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3781607494032.

It is not an unprimeable number, because it can be changed into a prime (3781607494031) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6040443 + ... + 6637029.

Almost surely, 2^{3781607494032} 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 3781607494032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5630308795408).

3781607494032 is an abundant number, since it is smaller than the sum of its proper divisors (7479010096784).

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

3781607494032 is a wasteful number, since it uses less digits than its factorization.

3781607494032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596747 (or 596732 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 3781607494032 in words is "three trillion, seven hundred eighty-one billion, six hundred seven million, four hundred ninety-four thousand, thirty-two".