3887548416 has 72 divisors (see below), whose sum is σ = 11228006790. Its totient is φ = 1295843328.

The previous prime is 3887548393. The next prime is 3887548493. The reversal of 3887548416 is 6148457883.

3887548416 is a `hidden beast` number, since 3 + 8 + 87 + 548 + 4 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3881788416 + 5760000 = 62304^2 + 2400^2 .

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

It is a super-2 number, since 2×3887548416² = 30226065373488218112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87025 + ... + 123888.

Almost surely, 2^3887548416 is an apocalyptic number.

3887548416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3887548416 is an abundant number, since it is smaller than the sum of its proper divisors (7340458374).

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

3887548416 is a wasteful number, since it uses less digits than its factorization.

3887548416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210941 (or 210918 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 3887548416 is about 62350.2078264379. The cubic root of 3887548416 is about 1572.3839553163.

The spelling of 3887548416 in words is "three billion, eight hundred eighty-seven million, five hundred forty-eight thousand, four hundred sixteen".