345552060672 has 864 divisors, whose sum is σ = 1259946455040. Its totient is φ = 88670453760.

The previous prime is 345552060661. The next prime is 345552060683. The reversal of 345552060672 is 276060255543.

345552060672 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 520 + 60 + 67 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (345552060661) and next prime (345552060683).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2069173933 + ... + 2069174099.

It is an arithmetic number, because the mean of its divisors is an integer number (1458271360).

Almost surely, 2^345552060672 is an apocalyptic number.

345552060672 is a gapful number since it is divisible by the number (32) 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 345552060672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629973227520).

345552060672 is an abundant number, since it is smaller than the sum of its proper divisors (914394394368).

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

345552060672 is a wasteful number, since it uses less digits than its factorization.

345552060672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 345552060672 in words is "three hundred forty-five billion, five hundred fifty-two million, sixty thousand, six hundred seventy-two".