345185957376 has 320 divisors, whose sum is σ = 1121165115840. Its totient is φ = 104204206080.

The previous prime is 345185957371. The next prime is 345185957381. The reversal of 345185957376 is 673759581543.

345185957376 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 8 + 59 + 573 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (345185957371) and next prime (345185957381).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345185957371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9506616 + ... + 9542856.

It is an arithmetic number, because the mean of its divisors is an integer number (3503640987).

Almost surely, 2^345185957376 is an apocalyptic number.

345185957376 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 345185957376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560582557920).

345185957376 is an abundant number, since it is smaller than the sum of its proper divisors (775979158464).

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

345185957376 is a wasteful number, since it uses less digits than its factorization.

345185957376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36334 (or 36312 counting only the distinct ones).

The product of its digits is 95256000, while the sum is 63.

The spelling of 345185957376 in words is "three hundred forty-five billion, one hundred eighty-five million, nine hundred fifty-seven thousand, three hundred seventy-six".