3422761584 has 160 divisors (see below), whose sum is σ = 10086973440. Its totient is φ = 990662400.

The previous prime is 3422761547. The next prime is 3422761603. The reversal of 3422761584 is 4851672243.

It is a congruent number.

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, 1291749 + ... + 1294395.

It is an arithmetic number, because the mean of its divisors is an integer number (63043584).

Almost surely, 2^3422761584 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 3422761584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5043486720).

3422761584 is an abundant number, since it is smaller than the sum of its proper divisors (6664211856).

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

3422761584 is a wasteful number, since it uses less digits than its factorization.

3422761584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2773 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 3422761584 is about 58504.3723494236. The cubic root of 3422761584 is about 1507.0426723168.

The spelling of 3422761584 in words is "three billion, four hundred twenty-two million, seven hundred sixty-one thousand, five hundred eighty-four".