3623961600 has 792 divisors, whose sum is σ = 15625651680. Its totient is φ = 820592640.

The previous prime is 3623961589. The next prime is 3623961617. The reversal of 3623961600 is 61693263.

3623961600 is a `hidden beast` number, since 3 + 6 + 2 + 39 + 616 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33868747 + ... + 33868853.

Almost surely, 2^3623961600 is an apocalyptic number.

3623961600 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 3623961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7812825840).

3623961600 is an abundant number, since it is smaller than the sum of its proper divisors (12001690080).

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

3623961600 is a wasteful number, since it uses less digits than its factorization.

3623961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3623961600 is about 60199.3488336876. The cubic root of 3623961600 is about 1536.0117186606.

The spelling of 3623961600 in words is "three billion, six hundred twenty-three million, nine hundred sixty-one thousand, six hundred".