3394072584 has 128 divisors (see below), whose sum is σ = 10808428800. Its totient is φ = 966712320.

The previous prime is 3394072531. The next prime is 3394072601. The reversal of 3394072584 is 4852704933.

3394072584 is a `hidden beast` number, since 3 + 394 + 0 + 7 + 258 + 4 = 666.

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, 506214 + ... + 512874.

It is an arithmetic number, because the mean of its divisors is an integer number (84440850).

Almost surely, 2^3394072584 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 3394072584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5404214400).

3394072584 is an abundant number, since it is smaller than the sum of its proper divisors (7414356216).

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

3394072584 is a wasteful number, since it uses less digits than its factorization.

3394072584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7020 (or 7010 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3394072584 is about 58258.6696037594. The cubic root of 3394072584 is about 1502.8202620912.

The spelling of 3394072584 in words is "three billion, three hundred ninety-four million, seventy-two thousand, five hundred eighty-four".