3645538272 has 96 divisors (see below), whose sum is σ = 11095176960. Its totient is φ = 1162339200.

The previous prime is 3645538243. The next prime is 3645538283. The reversal of 3645538272 is 2728355463.

3645538272 is a `hidden beast` number, since 3 + 6 + 45 + 538 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71854 + ... + 111597.

It is an arithmetic number, because the mean of its divisors is an integer number (115574760).

Almost surely, 2^3645538272 is an apocalyptic number.

3645538272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3645538272 is an abundant number, since it is smaller than the sum of its proper divisors (7449638688).

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

3645538272 is a wasteful number, since it uses less digits than its factorization.

3645538272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183493 (or 183479 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 3645538272 is about 60378.2930530501. The cubic root of 3645538272 is about 1539.0541040147.

The spelling of 3645538272 in words is "three billion, six hundred forty-five million, five hundred thirty-eight thousand, two hundred seventy-two".