3642575125 has 64 divisors (see below), whose sum is σ = 5580057600. Its totient is φ = 2317056000.

The previous prime is 3642575119. The next prime is 3642575143. The reversal of 3642575125 is 5215752463.

3642575125 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3642575125 - 2¹³ = 3642566933 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1054401 + ... + 1057849.

It is an arithmetic number, because the mean of its divisors is an integer number (87188400).

Almost surely, 2^3642575125 is an apocalyptic number.

3642575125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3642575125 is a deficient number, since it is larger than the sum of its proper divisors (1937482475).

3642575125 is a wasteful number, since it uses less digits than its factorization.

3642575125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559 (or 3549 counting only the distinct ones).

The product of its digits is 252000, while the sum is 40.

The square root of 3642575125 is about 60353.7498834994. The cubic root of 3642575125 is about 1538.6370023992.

The spelling of 3642575125 in words is "three billion, six hundred forty-two million, five hundred seventy-five thousand, one hundred twenty-five".