345016047840 has 192 divisors, whose sum is σ = 1144399415040. Its totient is φ = 87131566080.

The previous prime is 345016047811. The next prime is 345016047847. The reversal of 345016047840 is 48740610543.

It is a junction number, because it is equal to n+sod(n) for n = 345016047792 and 345016047801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345016047847) 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, 38454555 + ... + 38463525.

It is an arithmetic number, because the mean of its divisors is an integer number (5960413620).

Almost surely, 2^345016047840 is an apocalyptic number.

345016047840 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 345016047840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572199707520).

345016047840 is an abundant number, since it is smaller than the sum of its proper divisors (799383367200).

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

345016047840 is a wasteful number, since it uses less digits than its factorization.

345016047840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13225 (or 13217 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 345016047840 in words is "three hundred forty-five billion, sixteen million, forty-seven thousand, eight hundred forty".