3469362984960 has 384 divisors, whose sum is σ = 11693778969600. Its totient is φ = 875693998080.

The previous prime is 3469362984959. The next prime is 3469362984977. The reversal of 3469362984960 is 694892639643.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3469362984960² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 955482345 + ... + 955485975.

It is an arithmetic number, because the mean of its divisors is an integer number (30452549400).

Almost surely, 2^{3469362984960} is an apocalyptic number.

3469362984960 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 3469362984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846889484800).

3469362984960 is an abundant number, since it is smaller than the sum of its proper divisors (8224415984640).

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

3469362984960 is a wasteful number, since it uses less digits than its factorization.

3469362984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5317 (or 5297 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 69.

The spelling of 3469362984960 in words is "three trillion, four hundred sixty-nine billion, three hundred sixty-two million, nine hundred eighty-four thousand, nine hundred sixty".