345557520 has 480 divisors, whose sum is σ = 1515331584. Its totient is φ = 68428800.

The previous prime is 345557519. The next prime is 345557539. The reversal of 345557520 is 25755543.

345557520 is a `hidden beast` number, since 34 + 55 + 57 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1274985 + ... + 1275255.

Almost surely, 2^345557520 is an apocalyptic number.

345557520 is a gapful number since it is divisible by the number (30) 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 345557520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757665792).

345557520 is an abundant number, since it is smaller than the sum of its proper divisors (1169774064).

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

345557520 is a wasteful number, since it uses less digits than its factorization.

345557520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 36.

The square root of 345557520 is about 18589.1774965973. The cubic root of 345557520 is about 701.7355031518.

The spelling of 345557520 in words is "three hundred forty-five million, five hundred fifty-seven thousand, five hundred twenty".