3426925824 has 432 divisors, whose sum is σ = 12397432320. Its totient is φ = 887685120.

The previous prime is 3426925819. The next prime is 3426925891. The reversal of 3426925824 is 4285296243.

3426925824 is a `hidden beast` number, since 3 + 4 + 2 + 69 + 2 + 582 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3426925824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7950889 + ... + 7951319.

It is an arithmetic number, because the mean of its divisors is an integer number (28697760).

Almost surely, 2^3426925824 is an apocalyptic number.

3426925824 is a gapful number since it is divisible by the number (34) 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 3426925824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6198716160).

3426925824 is an abundant number, since it is smaller than the sum of its proper divisors (8970506496).

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

3426925824 is a wasteful number, since it uses less digits than its factorization.

3426925824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 489 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 3426925824 is about 58539.9506661903. The cubic root of 3426925824 is about 1507.6535965541.

The spelling of 3426925824 in words is "three billion, four hundred twenty-six million, nine hundred twenty-five thousand, eight hundred twenty-four".