337934070272 has 90 divisors (see below), whose sum is σ = 706473847233. Its totient is φ = 161475950592.

The previous prime is 337934070263. The next prime is 337934070289. The reversal of 337934070272 is 272070439733.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 238472048896 + 99462021376 = 488336^2 + 315376^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=411056.

It is a super-2 number, since 2×337934070272² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 302536658 + ... + 302537774.

Almost surely, 2^337934070272 is an apocalyptic number.

337934070272 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 337934070272

337934070272 is an abundant number, since it is smaller than the sum of its proper divisors (368539776961).

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

337934070272 is an frugal number, since it uses more digits than its factorization.

337934070272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 47.

The spelling of 337934070272 in words is "three hundred thirty-seven billion, nine hundred thirty-four million, seventy thousand, two hundred seventy-two".