3214158864 has 320 divisors, whose sum is σ = 10475520000. Its totient is φ = 828610560.

The previous prime is 3214158803. The next prime is 3214158917. The reversal of 3214158864 is 4688514123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (184320) is a multiple of the sum of its prime divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21571462 + ... + 21571610.

It is an arithmetic number, because the mean of its divisors is an integer number (32736000).

Almost surely, 2^3214158864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3214158864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5237760000).

3214158864 is an abundant number, since it is smaller than the sum of its proper divisors (7261361136).

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

3214158864 is a wasteful number, since it uses less digits than its factorization.

3214158864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 3214158864 is about 56693.5522259807. The cubic root of 3214158864 is about 1475.7828060053.

The spelling of 3214158864 in words is "three billion, two hundred fourteen million, one hundred fifty-eight thousand, eight hundred sixty-four".