3388520800 has 144 divisors (see below), whose sum is σ = 9951863040. Its totient is φ = 1100597760.

The previous prime is 3388520783. The next prime is 3388520867. The reversal of 3388520800 is 80258833.

It is a happy number.

3388520800 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 2×3388520800² = 22964146424065280000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3388520800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90477 + ... + 122323.

It is an arithmetic number, because the mean of its divisors is an integer number (69110160).

Almost surely, 2^3388520800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3388520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975931520).

3388520800 is an abundant number, since it is smaller than the sum of its proper divisors (6563342240).

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

3388520800 is a wasteful number, since it uses less digits than its factorization.

3388520800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31893 (or 31880 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 3388520800 is about 58211.0023964542. The cubic root of 3388520800 is about 1502.0004125287. Note that the first 3 decimals are identical.

The spelling of 3388520800 in words is "three billion, three hundred eighty-eight million, five hundred twenty thousand, eight hundred".