3795724800 has 600 divisors, whose sum is σ = 16085848416. Its totient is φ = 865935360.

The previous prime is 3795724789. The next prime is 3795724831. The reversal of 3795724800 is 84275973.

3795724800 is a `hidden beast` number, since 3 + 79 + 572 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7257339 + ... + 7257861.

Almost surely, 2^3795724800 is an apocalyptic number.

3795724800 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 3795724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8042924208).

3795724800 is an abundant number, since it is smaller than the sum of its proper divisors (12290123616).

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

3795724800 is an equidigital number, since it uses as much as digits as its factorization.

3795724800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 3795724800 is about 61609.4538200104. The cubic root of 3795724800 is about 1559.9053196975.

The spelling of 3795724800 in words is "three billion, seven hundred ninety-five million, seven hundred twenty-four thousand, eight hundred".