3906856800 has 1152 divisors, whose sum is σ = 18448819200. Its totient is φ = 783820800.

The previous prime is 3906856781. The next prime is 3906856859. The reversal of 3906856800 is 86586093.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 134719186 + ... + 134719214.

It is an arithmetic number, because the mean of its divisors is an integer number (16014600).

Almost surely, 2^3906856800 is an apocalyptic number.

3906856800 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 3906856800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9224409600).

3906856800 is an abundant number, since it is smaller than the sum of its proper divisors (14541962400).

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

3906856800 is a wasteful number, since it uses less digits than its factorization.

3906856800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3906856800 is about 62504.8542114930. The cubic root of 3906856800 is about 1574.9828569563.

The spelling of 3906856800 in words is "three billion, nine hundred six million, eight hundred fifty-six thousand, eight hundred".