3388828464 has 240 divisors, whose sum is σ = 11370557952. Its totient is φ = 921203712.

The previous prime is 3388828439. The next prime is 3388828507. The reversal of 3388828464 is 4648288833.

It is a super-2 number, since 2×3388828464² = 22968316716833198592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3388828464.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7256359 + ... + 7256825.

Almost surely, 2^3388828464 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 3388828464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5685278976).

3388828464 is an abundant number, since it is smaller than the sum of its proper divisors (7981729488).

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

3388828464 is a wasteful number, since it uses less digits than its factorization.

3388828464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 815 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The square root of 3388828464 is about 58213.6449984022. The cubic root of 3388828464 is about 1502.0458696762.

The spelling of 3388828464 in words is "three billion, three hundred eighty-eight million, eight hundred twenty-eight thousand, four hundred sixty-four".