3856404000 has 96 divisors (see below), whose sum is σ = 12633618816. Its totient is φ = 1028371200.

The previous prime is 3856403987. The next prime is 3856404029. The reversal of 3856404000 is 4046583.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3856404000² = 29743703622432000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148684 + ... + 172683.

It is an arithmetic number, because the mean of its divisors is an integer number (131600196).

Almost surely, 2^3856404000 is an apocalyptic number.

3856404000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3856404000 is an abundant number, since it is smaller than the sum of its proper divisors (8777214816).

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

3856404000 is a wasteful number, since it uses less digits than its factorization.

3856404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321395 (or 321377 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3856404000 is about 62099.9516908025. The cubic root of 3856404000 is about 1568.1737321383.

The spelling of 3856404000 in words is "three billion, eight hundred fifty-six million, four hundred four thousand".