3450815617260 has 288 divisors, whose sum is σ = 11128100578560. Its totient is φ = 792258368000.

The previous prime is 3450815617259. The next prime is 3450815617297. The reversal of 3450815617260 is 627165180543.

3450815617260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35214211 + ... + 35312069.

It is an arithmetic number, because the mean of its divisors is an integer number (38639238120).

Almost surely, 2^{3450815617260} is an apocalyptic number.

3450815617260 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 3450815617260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564050289280).

3450815617260 is an abundant number, since it is smaller than the sum of its proper divisors (7677284961300).

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

3450815617260 is a wasteful number, since it uses less digits than its factorization.

3450815617260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98029 (or 98004 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 3450815617260 in words is "three trillion, four hundred fifty billion, eight hundred fifteen million, six hundred seventeen thousand, two hundred sixty".