3602966400 has 768 divisors, whose sum is σ = 15299020800. Its totient is φ = 818380800.

The previous prime is 3602966387. The next prime is 3602966449. The reversal of 3602966400 is 46692063.

3602966400 is a `hidden beast` number, since 3 + 6 + 0 + 2 + 9 + 6 + 640 + 0 = 666.

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, 16156689 + ... + 16156911.

It is an arithmetic number, because the mean of its divisors is an integer number (19920600).

Almost surely, 2^3602966400 is an apocalyptic number.

3602966400 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 3602966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7649510400).

3602966400 is an abundant number, since it is smaller than the sum of its proper divisors (11696054400).

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

3602966400 is a wasteful number, since it uses less digits than its factorization.

3602966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3602966400 is about 60024.7149097770. The cubic root of 3602966400 is about 1533.0397085314.

The spelling of 3602966400 in words is "three billion, six hundred two million, nine hundred sixty-six thousand, four hundred".