334228607032320 has 3168 divisors, whose sum is σ = 1568001868992000. Its totient is φ = 63922034442240.

The previous prime is 334228607032319. The next prime is 334228607032349. The reversal of 334228607032320 is 23230706822433.

334228607032320 is a `hidden beast` number, since 3 + 3 + 4 + 2 + 2 + 8 + 607 + 0 + 3 + 2 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-2 number, since 2×334228607032320² (a number of 30 digits) 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 an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 299219880402 + ... + 299219881518.

Almost surely, 2^{334228607032320} is an apocalyptic number.

334228607032320 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 334228607032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784000934496000).

334228607032320 is an abundant number, since it is smaller than the sum of its proper divisors (1233773261959680).

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

334228607032320 is a wasteful number, since it uses less digits than its factorization.

334228607032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 334228607032320 in words is "three hundred thirty-four trillion, two hundred twenty-eight billion, six hundred seven million, thirty-two thousand, three hundred twenty".