3640946400 has 432 divisors, whose sum is σ = 15804550944. Its totient is φ = 768061440.

The previous prime is 3640946359. The next prime is 3640946429. The reversal of 3640946400 is 46490463.

3640946400 is a `hidden beast` number, since 3 + 6 + 4 + 0 + 9 + 4 + 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 71 ways as a sum of consecutive naturals, for example, 652422 + ... + 657978.

Almost surely, 2^3640946400 is an apocalyptic number.

3640946400 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 3640946400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7902275472).

3640946400 is an abundant number, since it is smaller than the sum of its proper divisors (12163604544).

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

3640946400 is a wasteful number, since it uses less digits than its factorization.

3640946400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5603 (or 5587 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3640946400 is about 60340.2552198779. The cubic root of 3640946400 is about 1538.4076417529.

The spelling of 3640946400 in words is "three billion, six hundred forty million, nine hundred forty-six thousand, four hundred".