3387930000 has 800 divisors, whose sum is σ = 14447575296. Its totient is φ = 663552000.

The previous prime is 3387929947. The next prime is 3387930011. The reversal of 3387930000 is 397833.

It is a super-2 number, since 2×3387930000² = 22956139369800000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 46409964 + ... + 46410036.

Almost surely, 2^3387930000 is an apocalyptic number.

3387930000 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 3387930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7223787648).

3387930000 is an abundant number, since it is smaller than the sum of its proper divisors (11059645296).

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

3387930000 is a wasteful number, since it uses less digits than its factorization.

3387930000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 3387930000 is about 58205.9275331989. The cubic root of 3387930000 is about 1501.9131145135.

The spelling of 3387930000 in words is "three billion, three hundred eighty-seven million, nine hundred thirty thousand".