39799900800 has 1152 divisors, whose sum is σ = 165526905600. Its totient is φ = 9443174400.

The previous prime is 39799900783. The next prime is 39799900801. The reversal of 39799900800 is 800999793.

It is a happy number.

39799900800 is a `hidden beast` number, since 397 + 99 + 90 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (39799900801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 846806377 + ... + 846806423.

It is an arithmetic number, because the mean of its divisors is an integer number (143686550).

Almost surely, 2^39799900800 is an apocalyptic number.

39799900800 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 39799900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82763452800).

39799900800 is an abundant number, since it is smaller than the sum of its proper divisors (125727004800).

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

39799900800 is an equidigital number, since it uses as much as digits as its factorization.

39799900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 39799900800 in words is "thirty-nine billion, seven hundred ninety-nine million, nine hundred thousand, eight hundred".