3450260450560 has 288 divisors, whose sum is σ = 10405779519744. Its totient is φ = 1064755200000.

The previous prime is 3450260450543. The next prime is 3450260450561. The reversal of 3450260450560 is 650540620543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3450260450561) 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 31 ways as a sum of consecutive naturals, for example, 9781260 + ... + 10127860.

It is an arithmetic number, because the mean of its divisors is an integer number (36131178888).

Almost surely, 2^{3450260450560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3450260450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5202889759872).

3450260450560 is an abundant number, since it is smaller than the sum of its proper divisors (6955519069184).

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

3450260450560 is a wasteful number, since it uses less digits than its factorization.

3450260450560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346741 (or 346727 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 3450260450560 in words is "three trillion, four hundred fifty billion, two hundred sixty million, four hundred fifty thousand, five hundred sixty".