345326357520 has 240 divisors, whose sum is σ = 1205071156224. Its totient is φ = 88525440000.

The previous prime is 345326357483. The next prime is 345326357633. The reversal of 345326357520 is 25753623543.

345326357520 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 2 + 635 + 7 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3319090 + ... + 3421550.

Almost surely, 2^345326357520 is an apocalyptic number.

345326357520 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 345326357520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602535578112).

345326357520 is an abundant number, since it is smaller than the sum of its proper divisors (859744798704).

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

345326357520 is a wasteful number, since it uses less digits than its factorization.

345326357520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102662 (or 102653 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 45.

The spelling of 345326357520 in words is "three hundred forty-five billion, three hundred twenty-six million, three hundred fifty-seven thousand, five hundred twenty".