345274093440 has 384 divisors, whose sum is σ = 1240056211680. Its totient is φ = 88453693440.

The previous prime is 345274093427. The next prime is 345274093441. The reversal of 345274093440 is 44390472543.

345274093440 is a `hidden beast` number, since 3 + 4 + 52 + 74 + 0 + 93 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345274093441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15097054 + ... + 15119906.

Almost surely, 2^345274093440 is an apocalyptic number.

345274093440 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 345274093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620028105840).

345274093440 is an abundant number, since it is smaller than the sum of its proper divisors (894782118240).

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

345274093440 is a wasteful number, since it uses less digits than its factorization.

345274093440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22982 (or 22967 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 345274093440 in words is "three hundred forty-five billion, two hundred seventy-four million, ninety-three thousand, four hundred forty".