334715472 has 360 divisors, whose sum is σ = 1215625320. Its totient is φ = 85155840.

The previous prime is 334715453. The next prime is 334715473. The reversal of 334715472 is 274517433.

It can be written as a sum of positive squares in 4 ways, for example, as 20575296 + 314140176 = 4536^2 + 17724^2 .

It is a super-2 number, since 2×334715472² = 224068894392365568, 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 (334715473) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3760804 + ... + 3760892.

It is an arithmetic number, because the mean of its divisors is an integer number (3376737).

Almost surely, 2^334715472 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 334715472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607812660).

334715472 is an abundant number, since it is smaller than the sum of its proper divisors (880909848).

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

334715472 is a wasteful number, since it uses less digits than its factorization.

334715472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 334715472 is about 18295.2308539685. The cubic root of 334715472 is about 694.3182742875.

It can be divided in two parts, 334 and 715472, that added together give a triangular number (715806 = T₁₁₉₆).

The spelling of 334715472 in words is "three hundred thirty-four million, seven hundred fifteen thousand, four hundred seventy-two".