345644045760 has 336 divisors, whose sum is σ = 1191025019520. Its totient is φ = 84888760320.

The previous prime is 345644045749. The next prime is 345644045783. The reversal of 345644045760 is 67540446543.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 79657671 + ... + 79662009.

It is an arithmetic number, because the mean of its divisors is an integer number (3544717320).

Almost surely, 2^345644045760 is an apocalyptic number.

345644045760 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 345644045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595512509760).

345644045760 is an abundant number, since it is smaller than the sum of its proper divisors (845380973760).

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

345644045760 is a wasteful number, since it uses less digits than its factorization.

345644045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4876 (or 4853 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 48.

The spelling of 345644045760 in words is "three hundred forty-five billion, six hundred forty-four million, forty-five thousand, seven hundred sixty".