3402143360 has 512 divisors, whose sum is σ = 11167580160. Its totient is φ = 958464000.

The previous prime is 3402143351. The next prime is 3402143383. The reversal of 3402143360 is 633412043.

It is a happy number.

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, 25970495 + ... + 25970625.

It is an arithmetic number, because the mean of its divisors is an integer number (21811680).

Almost surely, 2^3402143360 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 3402143360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5583790080).

3402143360 is an abundant number, since it is smaller than the sum of its proper divisors (7765436800).

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

3402143360 is a wasteful number, since it uses less digits than its factorization.

3402143360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 3402143360 is about 58327.8952131825. The cubic root of 3402143360 is about 1504.0105061889.

The spelling of 3402143360 in words is "three billion, four hundred two million, one hundred forty-three thousand, three hundred sixty".