3388045824 has 240 divisors, whose sum is σ = 10188097920. Its totient is φ = 1083064320.

The previous prime is 3388045813. The next prime is 3388045849. The reversal of 3388045824 is 4285408833.

It is a super-2 number, since 2×3388045824² = 22957709011047677952, 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 3388045824.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14925199 + ... + 14925425.

It is an arithmetic number, because the mean of its divisors is an integer number (42450408).

Almost surely, 2^3388045824 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 3388045824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094048960).

3388045824 is an abundant number, since it is smaller than the sum of its proper divisors (6800052096).

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

3388045824 is a wasteful number, since it uses less digits than its factorization.

3388045824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 3388045824 is about 58206.9224749084. The cubic root of 3388045824 is about 1501.9302297433.

The spelling of 3388045824 in words is "three billion, three hundred eighty-eight million, forty-five thousand, eight hundred twenty-four".