3364732800 has 1152 divisors, whose sum is σ = 15192777600. Its totient is φ = 696729600.

The previous prime is 3364732747. The next prime is 3364732853. The reversal of 3364732800 is 82374633.

3364732800 is a `hidden beast` number, since 3 + 3 + 647 + 3 + 2 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3364732747) and next prime (3364732853).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×3364732800² = 22642853630791680000, 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 143 ways as a sum of consecutive naturals, for example, 78249579 + ... + 78249621.

It is an arithmetic number, because the mean of its divisors is an integer number (13188175).

Almost surely, 2^3364732800 is an apocalyptic number.

3364732800 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 3364732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7596388800).

3364732800 is an abundant number, since it is smaller than the sum of its proper divisors (11828044800).

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

3364732800 is a wasteful number, since it uses less digits than its factorization.

3364732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3364732800 is about 58006.3168973863. The cubic root of 3364732800 is about 1498.4773882920.

It can be divided in two parts, 3364 and 732800, that added together give a square (736164 = 858²).

The spelling of 3364732800 in words is "three billion, three hundred sixty-four million, seven hundred thirty-two thousand, eight hundred".