3865922400 has 288 divisors, whose sum is σ = 14027852160. Its totient is φ = 919019520.

The previous prime is 3865922399. The next prime is 3865922413. The reversal of 3865922400 is 42295683.

It is a happy number.

3865922400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3865922400³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 772707 + ... + 777693.

It is an arithmetic number, because the mean of its divisors is an integer number (48707820).

Almost surely, 2^3865922400 is an apocalyptic number.

3865922400 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 3865922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7013926080).

3865922400 is an abundant number, since it is smaller than the sum of its proper divisors (10161929760).

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

3865922400 is a wasteful number, since it uses less digits than its factorization.

3865922400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5046 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 3865922400 is about 62176.5422004151. The cubic root of 3865922400 is about 1569.4628641121.

The spelling of 3865922400 in words is "three billion, eight hundred sixty-five million, nine hundred twenty-two thousand, four hundred".