3625948800 has 288 divisors, whose sum is σ = 13420286880. Its totient is φ = 966712320.

The previous prime is 3625948787. The next prime is 3625948831. The reversal of 3625948800 is 88495263.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 775269 + ... + 779931.

Almost surely, 2^3625948800 is an apocalyptic number.

3625948800 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 3625948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6710143440).

3625948800 is an abundant number, since it is smaller than the sum of its proper divisors (9794338080).

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

3625948800 is an equidigital number, since it uses as much as digits as its factorization.

3625948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4702 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3625948800 is about 60215.8517335759. The cubic root of 3625948800 is about 1536.2924247932.

It can be divided in two parts, 36 and 25948800, that added together give a square (25948836 = 5094²).

The spelling of 3625948800 in words is "three billion, six hundred twenty-five million, nine hundred forty-eight thousand, eight hundred".