3334460800 has 192 divisors, whose sum is σ = 9199143360. Its totient is φ = 1183795200.

The previous prime is 3334460761. The next prime is 3334460813. The reversal of 3334460800 is 80644333.

It is a super-2 number, since 2×3334460800² = 22237257653473280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1512499 + ... + 1514701.

It is an arithmetic number, because the mean of its divisors is an integer number (47912205).

Almost surely, 2^3334460800 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 3334460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599571680).

3334460800 is an abundant number, since it is smaller than the sum of its proper divisors (5864682560).

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

3334460800 is a wasteful number, since it uses less digits than its factorization.

3334460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 3334460800 is about 57744.7902411984. The cubic root of 3334460800 is about 1493.9699843494.

The spelling of 3334460800 in words is "three billion, three hundred thirty-four million, four hundred sixty thousand, eight hundred".