3463434891264 has 156 divisors (see below), whose sum is σ = 9809880576344. Its totient is φ = 1086566694912.

The previous prime is 3463434891251. The next prime is 3463434891283. The reversal of 3463434891264 is 4621984343643.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3063594 + ... + 4038870.

Almost surely, 2^{3463434891264} is an apocalyptic number.

3463434891264 is a gapful number since it is divisible by the number (34) 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 3463434891264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904940288172).

3463434891264 is an abundant number, since it is smaller than the sum of its proper divisors (6346445685080).

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

3463434891264 is an equidigital number, since it uses as much as digits as its factorization.

3463434891264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975338 (or 975299 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 57.

The spelling of 3463434891264 in words is "three trillion, four hundred sixty-three billion, four hundred thirty-four million, eight hundred ninety-one thousand, two hundred sixty-four".