345182534040 has 128 divisors (see below), whose sum is σ = 1053757071360. Its totient is φ = 90437259264.

The previous prime is 345182534033. The next prime is 345182534057. The reversal of 345182534040 is 40435281543.

It is a self number, because there is not a number n which added to its sum of digits gives 345182534040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3023272 + ... + 3135368.

It is an arithmetic number, because the mean of its divisors is an integer number (8232477120).

Almost surely, 2^345182534040 is an apocalyptic number.

345182534040 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 345182534040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526878535680).

345182534040 is an abundant number, since it is smaller than the sum of its proper divisors (708574537320).

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

345182534040 is a wasteful number, since it uses less digits than its factorization.

345182534040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112561 (or 112557 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 345182534040 in words is "three hundred forty-five billion, one hundred eighty-two million, five hundred thirty-four thousand, forty".