3389047200 has 432 divisors, whose sum is σ = 14901921216. Its totient is φ = 704102400.

The previous prime is 3389047163. The next prime is 3389047201. The reversal of 3389047200 is 27409833.

It is a super-2 number, since 2×3389047200² = 22971281847655680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3389047201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 551344 + ... + 557456.

It is an arithmetic number, because the mean of its divisors is an integer number (34495188).

Almost surely, 2^3389047200 is an apocalyptic number.

3389047200 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 3389047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7450960608).

3389047200 is an abundant number, since it is smaller than the sum of its proper divisors (11512874016).

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

3389047200 is a wasteful number, since it uses less digits than its factorization.

3389047200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6157 (or 6141 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3389047200 is about 58215.5237028750. The cubic root of 3389047200 is about 1502.0781860987.

The spelling of 3389047200 in words is "three billion, three hundred eighty-nine million, forty-seven thousand, two hundred".