334125792 has 576 divisors, whose sum is σ = 1364912640. Its totient is φ = 74649600.

The previous prime is 334125691. The next prime is 334125793. The reversal of 334125792 is 297521433.

It is a super-2 number, since 2×334125792² = 223280089759254528, 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 not an unprimeable number, because it can be changed into a prime (334125793) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5477442 + ... + 5477502.

It is an arithmetic number, because the mean of its divisors is an integer number (2369640).

Almost surely, 2^334125792 is an apocalyptic number.

334125792 is a gapful number since it is divisible by the number (32) 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 334125792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682456320).

334125792 is an abundant number, since it is smaller than the sum of its proper divisors (1030786848).

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

334125792 is a wasteful number, since it uses less digits than its factorization.

334125792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 116 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 334125792 is about 18279.1080745205. The cubic root of 334125792 is about 693.9102996513.

It can be divided in two parts, 33412 and 5792, that added together give a square (39204 = 198²).

The spelling of 334125792 in words is "three hundred thirty-four million, one hundred twenty-five thousand, seven hundred ninety-two".