3865580236800 has 1248 divisors, whose sum is σ = 14761626237120. Its totient is φ = 1003290624000.

The previous prime is 3865580236783. The next prime is 3865580236831. The reversal of 3865580236800 is 86320855683.

3865580236800 is a `hidden beast` number, since 3 + 8 + 6 + 558 + 0 + 2 + 3 + 6 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9181900590 + ... + 9181901010.

Almost surely, 2^{3865580236800} is an apocalyptic number.

3865580236800 is a gapful number since it is divisible by the number (30) 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 3865580236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7380813118560).

3865580236800 is an abundant number, since it is smaller than the sum of its proper divisors (10896046000320).

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

3865580236800 is an frugal number, since it uses more digits than its factorization.

3865580236800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 3865580236800 in words is "three trillion, eight hundred sixty-five billion, five hundred eighty million, two hundred thirty-six thousand, eight hundred".