3807820800 has 528 divisors, whose sum is σ = 16001317120. Its totient is φ = 869253120.

The previous prime is 3807820787. The next prime is 3807820847. The reversal of 3807820800 is 80287083.

3807820800 is a `hidden beast` number, since 380 + 78 + 208 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4838007 + ... + 4838793.

Almost surely, 2^3807820800 is an apocalyptic number.

3807820800 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 3807820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8000658560).

3807820800 is an abundant number, since it is smaller than the sum of its proper divisors (12193496320).

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

3807820800 is a wasteful number, since it uses less digits than its factorization.

3807820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 3807820800 is about 61707.5424887428. The cubic root of 3807820800 is about 1561.5605685197.

The spelling of 3807820800 in words is "three billion, eight hundred seven million, eight hundred twenty thousand, eight hundred".