3641601600 has 756 divisors, whose sum is σ = 16255290324. Its totient is φ = 766402560.

The previous prime is 3641601577. The next prime is 3641601641. The reversal of 3641601600 is 61061463.

3641601600 is a `hidden beast` number, since 3 + 641 + 6 + 0 + 16 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 223562304 + 3418039296 = 14952^2 + 58464^2 .

It is a super-2 number, since 2×3641601600² = 26522524426245120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9172602 + ... + 9172998.

Almost surely, 2^3641601600 is an apocalyptic number.

3641601600 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 3641601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8127645162).

3641601600 is an abundant number, since it is smaller than the sum of its proper divisors (12613688724).

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

3641601600 is a wasteful number, since it uses less digits than its factorization.

3641601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3641601600 is about 60345.6841870237. The cubic root of 3641601600 is about 1538.4999166836.

The spelling of 3641601600 in words is "three billion, six hundred forty-one million, six hundred one thousand, six hundred".