3628857600 has 243 divisors, whose sum is σ = 13025880049. Its totient is φ = 963840000.

The previous prime is 3628857563. The next prime is 3628857619. The reversal of 3628857600 is 67588263.

The square root of 3628857600 is 60240.

It is a perfect power (a square), and thus also a powerful number.

3628857600 is a `hidden beast` number, since 36 + 2 + 8 + 8 + 5 + 7 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1306388736 + 2322468864 = 36144^2 + 48192^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14457475 + ... + 14457725.

Almost surely, 2^3628857600 is an apocalyptic number.

3628857600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3628857600 is the 60240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3628857600

3628857600 is an abundant number, since it is smaller than the sum of its proper divisors (9397022449).

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

3628857600 is an equidigital number, since it uses as much as digits as its factorization.

3628857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The cubic root of 3628857600 is about 1536.7031286033.

The spelling of 3628857600 in words is "three billion, six hundred twenty-eight million, eight hundred fifty-seven thousand, six hundred".