3360871872 has 224 divisors, whose sum is σ = 10422696960. Its totient is φ = 1059886080.

The previous prime is 3360871841. The next prime is 3360871897. The reversal of 3360871872 is 2781780633.

3360871872 is a `hidden beast` number, since 33 + 608 + 7 + 1 + 8 + 7 + 2 = 666.

It is a super-2 number, since 2×3360871872² = 22590919480001568768, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4093222 + ... + 4094042.

Almost surely, 2^3360871872 is an apocalyptic number.

3360871872 is a gapful number since it is divisible by the number (32) 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 3360871872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211348480).

3360871872 is an abundant number, since it is smaller than the sum of its proper divisors (7061825088).

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

3360871872 is a wasteful number, since it uses less digits than its factorization.

3360871872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3360871872 is about 57973.0271074402. The cubic root of 3360871872 is about 1497.9040165999.

The spelling of 3360871872 in words is "three billion, three hundred sixty million, eight hundred seventy-one thousand, eight hundred seventy-two".