345555573440 has 672 divisors, whose sum is σ = 1077174319104. Its totient is φ = 104362352640.

The previous prime is 345555573439. The next prime is 345555573443. The reversal of 345555573440 is 44375555543.

It is not an unprimeable number, because it can be changed into a prime (345555573443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 941568137 + ... + 941568503.

Almost surely, 2^345555573440 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 345555573440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538587159552).

345555573440 is an abundant number, since it is smaller than the sum of its proper divisors (731618745664).

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

345555573440 is a wasteful number, since it uses less digits than its factorization.

345555573440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 12600000, while the sum is 50.

The spelling of 345555573440 in words is "three hundred forty-five billion, five hundred fifty-five million, five hundred seventy-three thousand, four hundred forty".