337472768 has 72 divisors (see below), whose sum is σ = 704198880. Its totient is φ = 161208320.

The previous prime is 337472761. The next prime is 337472803. The reversal of 337472768 is 867274733.

It is a super-2 number, since 2×337472768² = 227775738283163648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (337472761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 972371 + ... + 972717.

It is an arithmetic number, because the mean of its divisors is an integer number (9780540).

Almost surely, 2^337472768 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 337472768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352099440).

337472768 is an abundant number, since it is smaller than the sum of its proper divisors (366726112).

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

337472768 is a wasteful number, since it uses less digits than its factorization.

337472768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 509 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 47.

The square root of 337472768 is about 18370.4318947596. The cubic root of 337472768 is about 696.2195986498.

The spelling of 337472768 in words is "three hundred thirty-seven million, four hundred seventy-two thousand, seven hundred sixty-eight".