3615998400 has 504 divisors, whose sum is σ = 15206898720. Its totient is φ = 797368320.

The previous prime is 3615998389. The next prime is 3615998417. The reversal of 3615998400 is 48995163.

It is a happy number.

3615998400 is a `hidden beast` number, since 3 + 6 + 159 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

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, 2922582 + ... + 2923818.

Almost surely, 2^3615998400 is an apocalyptic number.

3615998400 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 3615998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603449360).

3615998400 is an abundant number, since it is smaller than the sum of its proper divisors (11590900320).

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

3615998400 is a wasteful number, since it uses less digits than its factorization.

3615998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 3615998400 is about 60133.1722096881. The cubic root of 3615998400 is about 1534.8858293776.

The spelling of 3615998400 in words is "three billion, six hundred fifteen million, nine hundred ninety-eight thousand, four hundred".