345107653000 has 128 divisors (see below), whose sum is σ = 881345836800. Its totient is φ = 125439552000.

The previous prime is 345107652983. The next prime is 345107653001. The reversal of 345107653000 is 356701543.

It is not an unprimeable number, because it can be changed into a prime (345107653001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 32653717 + ... + 32664283.

It is an arithmetic number, because the mean of its divisors is an integer number (6885514350).

Almost surely, 2^345107653000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345107653000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440672918400).

345107653000 is an abundant number, since it is smaller than the sum of its proper divisors (536238183800).

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

345107653000 is a wasteful number, since it uses less digits than its factorization.

345107653000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13568 (or 13554 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The spelling of 345107653000 in words is "three hundred forty-five billion, one hundred seven million, six hundred fifty-three thousand".