345137264 has 80 divisors (see below), whose sum is σ = 756594432. Its totient is φ = 151624704.

The previous prime is 345137263. The next prime is 345137269. The reversal of 345137264 is 462731543.

It is a super-3 number, since 3×345137264³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345137263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268367 + ... + 269649.

Almost surely, 2^345137264 is an apocalyptic number.

345137264 is a gapful number since it is divisible by the number (34) 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 345137264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378297216).

345137264 is an abundant number, since it is smaller than the sum of its proper divisors (411457168).

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

345137264 is a wasteful number, since it uses less digits than its factorization.

345137264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1368 counting only the distinct ones).

The product of its digits is 60480, while the sum is 35.

The square root of 345137264 is about 18577.8702762184. The cubic root of 345137264 is about 701.4509116611.

The spelling of 345137264 in words is "three hundred forty-five million, one hundred thirty-seven thousand, two hundred sixty-four".