3442083264 has 168 divisors, whose sum is σ = 10423542272. Its totient is φ = 1084285440.

The previous prime is 3442083257. The next prime is 3442083317. The reversal of 3442083264 is 4623802443.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 765567 + ... + 770049.

Almost surely, 2^3442083264 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 3442083264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211771136).

3442083264 is an abundant number, since it is smaller than the sum of its proper divisors (6981459008).

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

3442083264 is a wasteful number, since it uses less digits than its factorization.

3442083264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4575 (or 4562 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 3442083264 is about 58669.2701846546. The cubic root of 3442083264 is about 1509.8731329168.

The spelling of 3442083264 in words is "three billion, four hundred forty-two million, eighty-three thousand, two hundred sixty-four".