3387975840 has 72 divisors (see below), whose sum is σ = 11561472468. Its totient is φ = 903459840.

The previous prime is 3387975839. The next prime is 3387975881. The reversal of 3387975840 is 485797833.

It can be written as a sum of positive squares in 2 ways, for example, as 2748695184 + 639280656 = 52428^2 + 25284^2 .

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

It is a super-2 number, since 2×3387975840² = 22956760584847411200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1174941 + ... + 1177820.

Almost surely, 2^3387975840 is an apocalyptic number.

3387975840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3387975840 is an abundant number, since it is smaller than the sum of its proper divisors (8173496628).

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

3387975840 is a wasteful number, since it uses less digits than its factorization.

3387975840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352782 (or 2352771 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 3387975840 is about 58206.3213061949. The cubic root of 3387975840 is about 1501.9198883042.

The spelling of 3387975840 in words is "three billion, three hundred eighty-seven million, nine hundred seventy-five thousand, eight hundred forty".