3214008960 has 256 divisors, whose sum is σ = 10847381760. Its totient is φ = 807763968.

The previous prime is 3214008949. The next prime is 3214008991. The reversal of 3214008960 is 698004123.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3223182 + ... + 3224178.

It is an arithmetic number, because the mean of its divisors is an integer number (42372585).

Almost surely, 2^3214008960 is an apocalyptic number.

3214008960 is a gapful number since it is divisible by the number (30) 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 3214008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423690880).

3214008960 is an abundant number, since it is smaller than the sum of its proper divisors (7633372800).

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

3214008960 is a wasteful number, since it uses less digits than its factorization.

3214008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3214008960 is about 56692.2301554631. The cubic root of 3214008960 is about 1475.7598628140.

The spelling of 3214008960 in words is "three billion, two hundred fourteen million, eight thousand, nine hundred sixty".