3795292800 has 768 divisors, whose sum is σ = 15582336000. Its totient is φ = 895795200.

The previous prime is 3795292757. The next prime is 3795292801. The reversal of 3795292800 is 82925973.

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

It is not an unprimeable number, because it can be changed into a prime (3795292801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34819146 + ... + 34819254.

It is an arithmetic number, because the mean of its divisors is an integer number (20289500).

Almost surely, 2^3795292800 is an apocalyptic number.

3795292800 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 3795292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7791168000).

3795292800 is an abundant number, since it is smaller than the sum of its proper divisors (11787043200).

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

3795292800 is a wasteful number, since it uses less digits than its factorization.

3795292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3795292800 is about 61605.9477648060. The cubic root of 3795292800 is about 1559.8461386715.

The spelling of 3795292800 in words is "three billion, seven hundred ninety-five million, two hundred ninety-two thousand, eight hundred".