3364888800 has 864 divisors, whose sum is σ = 14363080704. Its totient is φ = 677376000.

The previous prime is 3364888789. The next prime is 3364888823. The reversal of 3364888800 is 88884633.

It is a happy number.

It is a super-2 number, since 2×3364888800² = 22644953272730880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3364888800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47392765 + ... + 47392835.

It is an arithmetic number, because the mean of its divisors is an integer number (16623936).

Almost surely, 2^3364888800 is an apocalyptic number.

3364888800 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 3364888800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7181540352).

3364888800 is an abundant number, since it is smaller than the sum of its proper divisors (10998191904).

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

3364888800 is a wasteful number, since it uses less digits than its factorization.

3364888800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 3364888800 is about 58007.6615629349. The cubic root of 3364888800 is about 1498.5005460358.

The spelling of 3364888800 in words is "three billion, three hundred sixty-four million, eight hundred eighty-eight thousand, eight hundred".