3678825600 has 672 divisors, whose sum is σ = 14515477200. Its totient is φ = 918190080.

The previous prime is 3678825571. The next prime is 3678825613. The reversal of 3678825600 is 65288763.

3678825600 is a `hidden beast` number, since 3 + 6 + 7 + 8 + 82 + 560 + 0 = 666.

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 83 ways as a sum of consecutive naturals, for example, 44323159 + ... + 44323241.

Almost surely, 2^3678825600 is an apocalyptic number.

3678825600 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 3678825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257738600).

3678825600 is an abundant number, since it is smaller than the sum of its proper divisors (10836651600).

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

3678825600 is an equidigital number, since it uses as much as digits as its factorization.

3678825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 112 counting only the distinct ones).

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

The square root of 3678825600 is about 60653.3230746676. The cubic root of 3678825600 is about 1543.7242744597.

The spelling of 3678825600 in words is "three billion, six hundred seventy-eight million, eight hundred twenty-five thousand, six hundred".