3388663980 has 144 divisors (see below), whose sum is σ = 11127340224. Its totient is φ = 829785600.

The previous prime is 3388663921. The next prime is 3388664017. The reversal of 3388663980 is 893668833.

It is a super-2 number, since 2×3388663980² = 22966087138698880800, which contains 22 as substring.

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, 457305 + ... + 464655.

It is an arithmetic number, because the mean of its divisors is an integer number (77273196).

Almost surely, 2^3388663980 is an apocalyptic number.

3388663980 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 3388663980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5563670112).

3388663980 is an abundant number, since it is smaller than the sum of its proper divisors (7738676244).

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

3388663980 is a wasteful number, since it uses less digits than its factorization.

3388663980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7576 (or 7571 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 3388663980 is about 58212.2322196976. The cubic root of 3388663980 is about 1502.0215676190.

The spelling of 3388663980 in words is "three billion, three hundred eighty-eight million, six hundred sixty-three thousand, nine hundred eighty".