3388079520 has 216 divisors, whose sum is σ = 13449745764. Its totient is φ = 774402048.

The previous prime is 3388079491. The next prime is 3388079533. The reversal of 3388079520 is 259708833.

It can be written as a sum of positive squares in 2 ways, for example, as 3176900496 + 211179024 = 56364^2 + 14532^2 .

It is a super-2 number, since 2×3388079520² = 22958165667686860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46552 + ... + 94568.

Almost surely, 2^3388079520 is an apocalyptic number.

3388079520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3388079520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6724872882).

3388079520 is an abundant number, since it is smaller than the sum of its proper divisors (10061666244).

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

3388079520 is a wasteful number, since it uses less digits than its factorization.

3388079520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48052 (or 48034 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3388079520 is about 58207.2119242968. The cubic root of 3388079520 is about 1501.9352089040.

The spelling of 3388079520 in words is "three billion, three hundred eighty-eight million, seventy-nine thousand, five hundred twenty".