3864900096 has 200 divisors, whose sum is σ = 11822266764. Its totient is φ = 1256325120.

The previous prime is 3864900047. The next prime is 3864900103. The reversal of 3864900096 is 6900094683.

It can be written as a sum of positive squares in 2 ways, for example, as 3851940096 + 12960000 = 62064^2 + 3600^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1699216 + ... + 1701488.

Almost surely, 2^3864900096 is an apocalyptic number.

3864900096 is a gapful number since it is divisible by the number (36) 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 3864900096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5911133382).

3864900096 is an abundant number, since it is smaller than the sum of its proper divisors (7957366668).

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

3864900096 is an equidigital number, since it uses as much as digits as its factorization.

3864900096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3864900096 is about 62168.3206786222. The cubic root of 3864900096 is about 1569.3245090662.

The spelling of 3864900096 in words is "three billion, eight hundred sixty-four million, nine hundred thousand, ninety-six".