3706887875600 has 960 divisors, whose sum is σ = 11600986822656. Its totient is φ = 1107083427840.

The previous prime is 3706887875569. The next prime is 3706887875627. The reversal of 3706887875600 is 65787886073.

It is a hoax number, since the sum of its digits (65) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9938037014 + ... + 9938037386.

Almost surely, 2^{3706887875600} 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 3706887875600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800493411328).

3706887875600 is an abundant number, since it is smaller than the sum of its proper divisors (7894098947056).

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

3706887875600 is a wasteful number, since it uses less digits than its factorization.

3706887875600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 65.

The spelling of 3706887875600 in words is "three trillion, seven hundred six billion, eight hundred eighty-seven million, eight hundred seventy-five thousand, six hundred".