345315348 has 108 divisors (see below), whose sum is σ = 1068936960. Its totient is φ = 93459744.

The previous prime is 345315343. The next prime is 345315349. The reversal of 345315348 is 843513543.

345315348 is a `hidden beast` number, since 34 + 531 + 53 + 48 = 666.

345315348 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×345315348² = 238485379128722208, 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 (345315343) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28365 + ... + 38667.

Almost surely, 2^345315348 is an apocalyptic number.

345315348 is a gapful number since it is divisible by the number (38) 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 345315348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534468480).

345315348 is an abundant number, since it is smaller than the sum of its proper divisors (723621612).

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

345315348 is a wasteful number, since it uses less digits than its factorization.

345315348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10346 (or 10334 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 345315348 is about 18582.6625648748. The cubic root of 345315348 is about 701.5715358479.

The spelling of 345315348 in words is "three hundred forty-five million, three hundred fifteen thousand, three hundred forty-eight".