3389068800 has 720 divisors, whose sum is σ = 13667541888. Its totient is φ = 796262400.

The previous prime is 3389068763. The next prime is 3389068829. The reversal of 3389068800 is 88609833.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3389068800² = 22971574662266880000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46425564 + ... + 46425636.

Almost surely, 2^3389068800 is an apocalyptic number.

3389068800 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 3389068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6833770944).

3389068800 is an abundant number, since it is smaller than the sum of its proper divisors (10278473088).

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

3389068800 is a wasteful number, since it uses less digits than its factorization.

3389068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3389068800 is about 58215.7092201066. The cubic root of 3389068800 is about 1502.0813772434.

The spelling of 3389068800 in words is "three billion, three hundred eighty-nine million, sixty-eight thousand, eight hundred".