3628656972 has 36 divisors (see below), whose sum is σ = 9186417240. Its totient is φ = 1207708992.

The previous prime is 3628656961. The next prime is 3628656973. The reversal of 3628656972 is 2796568263.

3628656972 is a `hidden beast` number, since 3 + 6 + 2 + 8 + 6 + 569 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×3628656972³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3628656973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52753 + ... + 100200.

Almost surely, 2^3628656972 is an apocalyptic number.

It is an amenable number.

3628656972 is an abundant number, since it is smaller than the sum of its proper divisors (5557760268).

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

3628656972 is a wasteful number, since it uses less digits than its factorization.

3628656972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153622 (or 153617 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 3628656972 is about 60238.3347379391. The cubic root of 3628656972 is about 1536.6748082712.

The spelling of 3628656972 in words is "three billion, six hundred twenty-eight million, six hundred fifty-six thousand, nine hundred seventy-two".