3642537600 has 960 divisors, whose sum is σ = 15426512640. Its totient is φ = 839393280.

The previous prime is 3642537599. The next prime is 3642537607. The reversal of 3642537600 is 67352463.

3642537600 is a `hidden beast` number, since 3 + 6 + 42 + 5 + 3 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (3642537607) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 77500777 + ... + 77500823.

It is an arithmetic number, because the mean of its divisors is an integer number (16069284).

Almost surely, 2^3642537600 is an apocalyptic number.

3642537600 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 3642537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7713256320).

3642537600 is an abundant number, since it is smaller than the sum of its proper divisors (11783975040).

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

3642537600 is a wasteful number, since it uses less digits than its factorization.

3642537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 3642537600 is about 60353.4390072347. The cubic root of 3642537600 is about 1538.6317188155.

The spelling of 3642537600 in words is "three billion, six hundred forty-two million, five hundred thirty-seven thousand, six hundred".