3862045738400 has 144 divisors (see below), whose sum is σ = 9563344781760. Its totient is φ = 1522688563200.

The previous prime is 3862045738393. The next prime is 3862045738483. The reversal of 3862045738400 is 48375402683.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418554587 + ... + 418563813.

It is an arithmetic number, because the mean of its divisors is an integer number (66412116540).

Almost surely, 2^{3862045738400} 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 3862045738400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781672390880).

3862045738400 is an abundant number, since it is smaller than the sum of its proper divisors (5701299043360).

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

3862045738400 is a wasteful number, since it uses less digits than its factorization.

3862045738400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16687 (or 16674 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 50.

The spelling of 3862045738400 in words is "three trillion, eight hundred sixty-two billion, forty-five million, seven hundred thirty-eight thousand, four hundred".