3394559520 has 432 divisors, whose sum is σ = 13116370176. Its totient is φ = 792806400.

The previous prime is 3394559503. The next prime is 3394559543. The reversal of 3394559520 is 259554933.

3394559520 is a `hidden beast` number, since 3 + 3 + 94 + 559 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15222129 + ... + 15222351.

It is an arithmetic number, because the mean of its divisors is an integer number (30361968).

Almost surely, 2^3394559520 is an apocalyptic number.

3394559520 is a gapful number since it is divisible by the number (30) 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 3394559520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6558185088).

3394559520 is an abundant number, since it is smaller than the sum of its proper divisors (9721810656).

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

3394559520 is a wasteful number, since it uses less digits than its factorization.

3394559520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The square root of 3394559520 is about 58262.8485400431. The cubic root of 3394559520 is about 1502.8921268178.

The spelling of 3394559520 in words is "three billion, three hundred ninety-four million, five hundred fifty-nine thousand, five hundred twenty".