345184414380 has 240 divisors, whose sum is σ = 1167106669344. Its totient is φ = 84898990080.

The previous prime is 345184414363. The next prime is 345184414381. The reversal of 345184414380 is 83414481543.

345184414380 is a `hidden beast` number, since 3 + 4 + 518 + 44 + 14 + 3 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (345184414381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28656639 + ... + 28668681.

Almost surely, 2^345184414380 is an apocalyptic number.

345184414380 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 345184414380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583553334672).

345184414380 is an abundant number, since it is smaller than the sum of its proper divisors (821922254964).

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

345184414380 is a wasteful number, since it uses less digits than its factorization.

345184414380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13438 (or 13427 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 345184414380 in words is "three hundred forty-five billion, one hundred eighty-four million, four hundred fourteen thousand, three hundred eighty".