345967856640 has 1408 divisors, whose sum is σ = 1529334988800. Its totient is φ = 72380252160.

The previous prime is 345967856593. The next prime is 345967856683. The reversal of 345967856640 is 46658769543.

345967856640 is a `hidden beast` number, since 3 + 4 + 5 + 9 + 67 + 8 + 566 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 569963217 + ... + 569963823.

Almost surely, 2^345967856640 is an apocalyptic number.

345967856640 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 345967856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764667494400).

345967856640 is an abundant number, since it is smaller than the sum of its proper divisors (1183367132160).

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

345967856640 is a wasteful number, since it uses less digits than its factorization.

345967856640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 345967856640 in words is "three hundred forty-five billion, nine hundred sixty-seven million, eight hundred fifty-six thousand, six hundred forty".