3621974400 has 768 divisors, whose sum is σ = 14995468800. Its totient is φ = 846028800.

The previous prime is 3621974371. The next prime is 3621974413. The reversal of 3621974400 is 44791263.

3621974400 is a `hidden beast` number, since 3 + 62 + 197 + 4 + 400 = 666.

3621974400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35164749 + ... + 35164851.

It is an arithmetic number, because the mean of its divisors is an integer number (19525350).

Almost surely, 2^3621974400 is an apocalyptic number.

3621974400 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 3621974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7497734400).

3621974400 is an abundant number, since it is smaller than the sum of its proper divisors (11373494400).

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

3621974400 is a wasteful number, since it uses less digits than its factorization.

3621974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3621974400 is about 60182.8414084945. The cubic root of 3621974400 is about 1535.7309098924.

The spelling of 3621974400 in words is "three billion, six hundred twenty-one million, nine hundred seventy-four thousand, four hundred".