3450998484960 has 768 divisors, whose sum is σ = 12954425831424. Its totient is φ = 764251471872.

The previous prime is 3450998484919. The next prime is 3450998485013. The reversal of 3450998484960 is 694848990543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 214379632 + ... + 214395728.

It is an arithmetic number, because the mean of its divisors is an integer number (16867741968).

Almost surely, 2^{3450998484960} is an apocalyptic number.

3450998484960 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 3450998484960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6477212915712).

3450998484960 is an abundant number, since it is smaller than the sum of its proper divisors (9503427346464).

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

3450998484960 is a wasteful number, since it uses less digits than its factorization.

3450998484960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16235 (or 16227 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 69.

The spelling of 3450998484960 in words is "three trillion, four hundred fifty billion, nine hundred ninety-eight million, four hundred eighty-four thousand, nine hundred sixty".