345666424620 has 192 divisors, whose sum is σ = 1064820556800. Its totient is φ = 83088384000.

The previous prime is 345666424603. The next prime is 345666424627. The reversal of 345666424620 is 26424666543.

It is a self number, because there is not a number n which added to its sum of digits gives 345666424620.

It is not an unprimeable number, because it can be changed into a prime (345666424627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59095456 + ... + 59101304.

It is an arithmetic number, because the mean of its divisors is an integer number (5545940400).

Almost surely, 2^345666424620 is an apocalyptic number.

345666424620 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 345666424620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532410278400).

345666424620 is an abundant number, since it is smaller than the sum of its proper divisors (719154132180).

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

345666424620 is a wasteful number, since it uses less digits than its factorization.

345666424620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6616 (or 6614 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 48.

The spelling of 345666424620 in words is "three hundred forty-five billion, six hundred sixty-six million, four hundred twenty-four thousand, six hundred twenty".