345005833536 has 672 divisors, whose sum is σ = 1274916464640. Its totient is φ = 86699593728.

The previous prime is 345005833531. The next prime is 345005833591. The reversal of 345005833536 is 635338500543.

345005833536 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 0 + 583 + 35 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 345005833491 and 345005833500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345005833531) 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, 505132651 + ... + 505133333.

It is an arithmetic number, because the mean of its divisors is an integer number (1897197120).

Almost surely, 2^345005833536 is an apocalyptic number.

345005833536 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 345005833536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637458232320).

345005833536 is an abundant number, since it is smaller than the sum of its proper divisors (929910631104).

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

345005833536 is a wasteful number, since it uses less digits than its factorization.

345005833536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 345005833536 in words is "three hundred forty-five billion, five million, eight hundred thirty-three thousand, five hundred thirty-six".