3388132800 has 420 divisors, whose sum is σ = 13418587336. Its totient is φ = 833587200.

The previous prime is 3388132789. The next prime is 3388132823. The reversal of 3388132800 is 82318833.

3388132800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3388132800² = 22958887740871680000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1683795 + ... + 1685805.

Almost surely, 2^3388132800 is an apocalyptic number.

3388132800 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 3388132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709293668).

3388132800 is an abundant number, since it is smaller than the sum of its proper divisors (10030454536).

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

3388132800 is a wasteful number, since it uses less digits than its factorization.

3388132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3388132800 is about 58207.6695977429. The cubic root of 3388132800 is about 1501.9430818684.

The spelling of 3388132800 in words is "three billion, three hundred eighty-eight million, one hundred thirty-two thousand, eight hundred".