3200157216 has 72 divisors (see below), whose sum is σ = 9111224304. Its totient is φ = 1065456000.

The previous prime is 3200157209. The next prime is 3200157239. The reversal of 3200157216 is 6127510023.

It is a happy number.

3200157216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3200157216.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255091 + ... + 267341.

It is an arithmetic number, because the mean of its divisors is an integer number (126544782).

Almost surely, 2^3200157216 is an apocalyptic number.

3200157216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3200157216 is an abundant number, since it is smaller than the sum of its proper divisors (5911067088).

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

3200157216 is a wasteful number, since it uses less digits than its factorization.

3200157216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13174 (or 13163 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 3200157216 is about 56569.9320841028. The cubic root of 3200157216 is about 1473.6367319233.

Adding to 3200157216 its reverse (6127510023), we get a palindrome (9327667239).

The spelling of 3200157216 in words is "three billion, two hundred million, one hundred fifty-seven thousand, two hundred sixteen".