3393293904 has 960 divisors, whose sum is σ = 14249088000. Its totient is φ = 757693440.

The previous prime is 3393293879. The next prime is 3393293951. The reversal of 3393293904 is 4093923933.

It is a super-2 number, since 2×3393293904² = 23028887037847122432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3393293904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57513427 + ... + 57513485.

It is an arithmetic number, because the mean of its divisors is an integer number (14842800).

Almost surely, 2^3393293904 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 3393293904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124544000).

3393293904 is an abundant number, since it is smaller than the sum of its proper divisors (10855794096).

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

3393293904 is a wasteful number, since it uses less digits than its factorization.

3393293904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 45.

The square root of 3393293904 is about 58251.9862665643. The cubic root of 3393293904 is about 1502.7053258747.

The spelling of 3393293904 in words is "three billion, three hundred ninety-three million, two hundred ninety-three thousand, nine hundred four".