3389752800 has 864 divisors, whose sum is σ = 14741056512. Its totient is φ = 744007680.

The previous prime is 3389752771. The next prime is 3389752801. The reversal of 3389752800 is 82579833.

3389752800 is a `hidden beast` number, since 3 + 38 + 97 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×3389752800² = 22980848090215680000, 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 not an unprimeable number, because it can be changed into a prime (3389752801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63957574 + ... + 63957626.

It is an arithmetic number, because the mean of its divisors is an integer number (17061408).

Almost surely, 2^3389752800 is an apocalyptic number.

3389752800 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 3389752800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7370528256).

3389752800 is an abundant number, since it is smaller than the sum of its proper divisors (11351303712).

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

3389752800 is a wasteful number, since it uses less digits than its factorization.

3389752800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3389752800 is about 58221.5836266929. The cubic root of 3389752800 is about 1502.1824231462.

The spelling of 3389752800 in words is "three billion, three hundred eighty-nine million, seven hundred fifty-two thousand, eight hundred".