345457260288 has 576 divisors, whose sum is σ = 1190901770240. Its totient is φ = 97955205120.

The previous prime is 345457260257. The next prime is 345457260319. The reversal of 345457260288 is 882062754543.

345457260288 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 572 + 60 + 2 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (345457260257) and next prime (345457260319).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 709357581 + ... + 709358067.

Almost surely, 2^345457260288 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 345457260288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595450885120).

345457260288 is an abundant number, since it is smaller than the sum of its proper divisors (845444509952).

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

345457260288 is an frugal number, since it uses more digits than its factorization.

345457260288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 345457260288 in words is "three hundred forty-five billion, four hundred fifty-seven million, two hundred sixty thousand, two hundred eighty-eight".