3915820800 has 864 divisors, whose sum is σ = 16058972160. Its totient is φ = 928972800.

The previous prime is 3915820793. The next prime is 3915820801. The reversal of 3915820800 is 80285193.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3915820801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91065579 + ... + 91065621.

Almost surely, 2^3915820800 is an apocalyptic number.

3915820800 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 3915820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8029486080).

3915820800 is an abundant number, since it is smaller than the sum of its proper divisors (12143151360).

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

3915820800 is a wasteful number, since it uses less digits than its factorization.

3915820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 3915820800 is about 62576.5195580579. The cubic root of 3915820800 is about 1576.1864982385.

The spelling of 3915820800 in words is "three billion, nine hundred fifteen million, eight hundred twenty thousand, eight hundred".