3642604875 has 432 divisors, whose sum is σ = 9138557376. Its totient is φ = 1383782400.

The previous prime is 3642604843. The next prime is 3642604877. The reversal of 3642604875 is 5784062463.

3642604875 is a `hidden beast` number, since 36 + 4 + 2 + 604 + 8 + 7 + 5 = 666.

It is not a de Polignac number, because 3642604875 - 2⁵ = 3642604843 is a prime.

It is a super-3 number, since 3×3642604875³ (a number of 30 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3642604875.

It is not an unprimeable number, because it can be changed into a prime (3642604877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 158374114 + ... + 158374136.

It is an arithmetic number, because the mean of its divisors is an integer number (21154068).

Almost surely, 2^3642604875 is an apocalyptic number.

3642604875 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3642604875 is an abundant number, since it is smaller than the sum of its proper divisors (5495952501).

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

3642604875 is a wasteful number, since it uses less digits than its factorization.

3642604875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 3642604875 is about 60353.9963465552. The cubic root of 3642604875 is about 1538.6411912239.

The spelling of 3642604875 in words is "three billion, six hundred forty-two million, six hundred four thousand, eight hundred seventy-five".