334872720 has 480 divisors, whose sum is σ = 1462406400. Its totient is φ = 66686976.

The previous prime is 334872719. The next prime is 334872751. The reversal of 334872720 is 27278433.

It is a super-2 number, since 2×334872720² = 224279477200396800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1244746 + ... + 1245014.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2^334872720 is an apocalyptic number.

334872720 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 334872720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731203200).

334872720 is an abundant number, since it is smaller than the sum of its proper divisors (1127533680).

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

334872720 is a wasteful number, since it uses less digits than its factorization.

334872720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 334872720 is about 18299.5278627619. The cubic root of 334872720 is about 694.4269865881.

The spelling of 334872720 in words is "three hundred thirty-four million, eight hundred seventy-two thousand, seven hundred twenty".