345182535360 has 336 divisors, whose sum is σ = 1334208867264. Its totient is φ = 81273544704.

The previous prime is 345182535331. The next prime is 345182535371. The reversal of 345182535360 is 63535281543.

345182535360 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 82 + 535 + 36 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660694 + ... + 1061546.

It is an arithmetic number, because the mean of its divisors is an integer number (3970859724).

Almost surely, 2^345182535360 is an apocalyptic number.

345182535360 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 345182535360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667104433632).

345182535360 is an abundant number, since it is smaller than the sum of its proper divisors (989026331904).

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

345182535360 is a wasteful number, since it uses less digits than its factorization.

345182535360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400912 (or 400899 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 345182535360 in words is "three hundred forty-five billion, one hundred eighty-two million, five hundred thirty-five thousand, three hundred sixty".