3387142656 has 400 divisors, whose sum is σ = 10908748224. Its totient is φ = 1043767296.

The previous prime is 3387142643. The next prime is 3387142691. The reversal of 3387142656 is 6562417833.

3387142656 is a `hidden beast` number, since 3 + 387 + 1 + 4 + 265 + 6 = 666.

It is a super-2 number, since 2×3387142656² = 22945470744189468672, 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 39 ways as a sum of consecutive naturals, for example, 50554335 + ... + 50554401.

Almost surely, 2^3387142656 is an apocalyptic number.

3387142656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3387142656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5454374112).

3387142656 is an abundant number, since it is smaller than the sum of its proper divisors (7521605568).

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

3387142656 is an equidigital number, since it uses as much as digits as its factorization.

3387142656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 3387142656 is about 58199.1637053317. The cubic root of 3387142656 is about 1501.7967589123.

The spelling of 3387142656 in words is "three billion, three hundred eighty-seven million, one hundred forty-two thousand, six hundred fifty-six".