3318906624 has 576 divisors, whose sum is σ = 11302502400. Its totient is φ = 851558400.

The previous prime is 3318906607. The next prime is 3318906631. The reversal of 3318906624 is 4266098133.

It is a super-2 number, since 2×3318906624² = 22030282357662154752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107061489 + ... + 107061519.

It is an arithmetic number, because the mean of its divisors is an integer number (19622400).

Almost surely, 2^3318906624 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 3318906624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651251200).

3318906624 is an abundant number, since it is smaller than the sum of its proper divisors (7983595776).

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

3318906624 is a wasteful number, since it uses less digits than its factorization.

3318906624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 3318906624 is about 57609.9524735093. The cubic root of 3318906624 is about 1491.6434015174.

The spelling of 3318906624 in words is "three billion, three hundred eighteen million, nine hundred six thousand, six hundred twenty-four".