345330155520 has 1280 divisors, whose sum is σ = 1522027584000. Its totient is φ = 72477573120.

The previous prime is 345330155477. The next prime is 345330155531. The reversal of 345330155520 is 25551033543.

345330155520 is a `hidden beast` number, since 3 + 4 + 53 + 30 + 1 + 55 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×345330155520² (a number of 24 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 8422686700 + ... + 8422686740.

It is an arithmetic number, because the mean of its divisors is an integer number (1189084050).

Almost surely, 2^345330155520 is an apocalyptic number.

345330155520 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 345330155520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761013792000).

345330155520 is an abundant number, since it is smaller than the sum of its proper divisors (1176697428480).

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

345330155520 is an frugal number, since it uses more digits than its factorization.

345330155520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 345330155520 in words is "three hundred forty-five billion, three hundred thirty million, one hundred fifty-five thousand, five hundred twenty".