3387586920 has 32 divisors (see below), whose sum is σ = 10162761120. Its totient is φ = 903356480.

The previous prime is 3387586919. The next prime is 3387586921. The reversal of 3387586920 is 296857833.

It is an interprime number because it is at equal distance from previous prime (3387586919) and next prime (3387586921).

It is a super-2 number, since 2×3387586920² = 22951490281110172800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3387586921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14114826 + ... + 14115065.

It is an arithmetic number, because the mean of its divisors is an integer number (317586285).

Almost surely, 2^3387586920 is an apocalyptic number.

3387586920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3387586920 is an abundant number, since it is smaller than the sum of its proper divisors (6775174200).

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

3387586920 is a wasteful number, since it uses less digits than its factorization.

3387586920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28229905 (or 28229901 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The square root of 3387586920 is about 58202.9803360618. The cubic root of 3387586920 is about 1501.8624155374.

The spelling of 3387586920 in words is "three billion, three hundred eighty-seven million, five hundred eighty-six thousand, nine hundred twenty".