3859876800 has 840 divisors, whose sum is σ = 16006267200. Its totient is φ = 905748480.

The previous prime is 3859876799. The next prime is 3859876807. The reversal of 3859876800 is 86789583.

It is a happy number.

It is a super-2 number, since 2×3859876800² = 29797297822356480000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3859876807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48859161 + ... + 48859239.

It is an arithmetic number, because the mean of its divisors is an integer number (19055080).

Almost surely, 2^3859876800 is an apocalyptic number.

3859876800 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 3859876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8003133600).

3859876800 is an abundant number, since it is smaller than the sum of its proper divisors (12146390400).

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

3859876800 is a wasteful number, since it uses less digits than its factorization.

3859876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 3859876800 is about 62127.9067730436. The cubic root of 3859876800 is about 1568.6443190555.

The spelling of 3859876800 in words is "three billion, eight hundred fifty-nine million, eight hundred seventy-six thousand, eight hundred".