3642575064 has 128 divisors (see below), whose sum is σ = 9550464000. Its totient is φ = 1156788864.

The previous prime is 3642575047. The next prime is 3642575077. The reversal of 3642575064 is 4605752463.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9610827 + ... + 9611205.

It is an arithmetic number, because the mean of its divisors is an integer number (74613000).

Almost surely, 2^3642575064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3642575064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4775232000).

3642575064 is an abundant number, since it is smaller than the sum of its proper divisors (5907888936).

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

3642575064 is a wasteful number, since it uses less digits than its factorization.

3642575064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The square root of 3642575064 is about 60353.7493781455. The cubic root of 3642575064 is about 1538.6369938103.

The spelling of 3642575064 in words is "three billion, six hundred forty-two million, five hundred seventy-five thousand, sixty-four".