3388470624 has 576 divisors, whose sum is σ = 12972234240. Its totient is φ = 835660800.

The previous prime is 3388470587. The next prime is 3388470629. The reversal of 3388470624 is 4260748833.

It is a super-2 number, since 2×3388470624² = 22963466339421898752, 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 3388470624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3388470629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63933382 + ... + 63933434.

It is an arithmetic number, because the mean of its divisors is an integer number (22521240).

Almost surely, 2^3388470624 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 3388470624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486117120).

3388470624 is an abundant number, since it is smaller than the sum of its proper divisors (9583763616).

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

3388470624 is a wasteful number, since it uses less digits than its factorization.

3388470624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3388470624 is about 58210.5714110418. The cubic root of 3388470624 is about 1501.9929987977.

The spelling of 3388470624 in words is "three billion, three hundred eighty-eight million, four hundred seventy thousand, six hundred twenty-four".