3464442204960 has 1152 divisors, whose sum is σ = 12684813926400. Its totient is φ = 793226649600.

The previous prime is 3464442204947. The next prime is 3464442205009. The reversal of 3464442204960 is 694022444643.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 24924044571 + ... + 24924044709.

It is an arithmetic number, because the mean of its divisors is an integer number (11011123200).

Almost surely, 2^{3464442204960} is an apocalyptic number.

3464442204960 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 3464442204960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6342406963200).

3464442204960 is an abundant number, since it is smaller than the sum of its proper divisors (9220371721440).

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

3464442204960 is a wasteful number, since it uses less digits than its factorization.

3464442204960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 48.

The spelling of 3464442204960 in words is "three trillion, four hundred sixty-four billion, four hundred forty-two million, two hundred four thousand, nine hundred sixty".