3872577152 has 32 divisors (see below), whose sum is σ = 8168722020. Its totient is φ = 1822388224.

The previous prime is 3872577083. The next prime is 3872577193. The reversal of 3872577152 is 2517752783.

It can be written as a sum of positive squares in 2 ways, for example, as 2875533376 + 997043776 = 53624^2 + 31576^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×3872577152² = 29993707596384862208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3872577097 and 3872577106.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 887663 + ... + 892014.

Almost surely, 2^3872577152 is an apocalyptic number.

3872577152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3872577152 is an abundant number, since it is smaller than the sum of its proper divisors (4296144868).

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

3872577152 is a wasteful number, since it uses less digits than its factorization.

3872577152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779708 (or 1779696 counting only the distinct ones).

The product of its digits is 823200, while the sum is 47.

The square root of 3872577152 is about 62230.0341635773. The cubic root of 3872577152 is about 1570.3628993285.

The spelling of 3872577152 in words is "three billion, eight hundred seventy-two million, five hundred seventy-seven thousand, one hundred fifty-two".