345332033676 has 144 divisors (see below), whose sum is σ = 1018777032000. Its totient is φ = 98589593088.

The previous prime is 345332033647. The next prime is 345332033693. The reversal of 345332033676 is 676330233543.

345332033676 is a `hidden beast` number, since 3 + 4 + 533 + 20 + 33 + 67 + 6 = 666.

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, 16943620 + ... + 16963988.

It is an arithmetic number, because the mean of its divisors is an integer number (7074840500).

Almost surely, 2^345332033676 is an apocalyptic number.

345332033676 is a gapful number since it is divisible by the number (36) 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 345332033676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509388516000).

345332033676 is an abundant number, since it is smaller than the sum of its proper divisors (673444998324).

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

345332033676 is a wasteful number, since it uses less digits than its factorization.

345332033676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21773 (or 21754 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 45.

The spelling of 345332033676 in words is "three hundred forty-five billion, three hundred thirty-two million, thirty-three thousand, six hundred seventy-six".