3468051873792 has 560 divisors, whose sum is σ = 11693048419800. Its totient is φ = 1014686023680.

The previous prime is 3468051873773. The next prime is 3468051873799. The reversal of 3468051873792 is 2973781508643.

3468051873792 is a `hidden beast` number, since 3 + 4 + 6 + 80 + 5 + 187 + 379 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3468051873799) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119587995634 + ... + 119587995662.

It is a 1-persistent number, because it is pandigital, but 2⋅3468051873792 = 6936103747584 is not.

Almost surely, 2^{3468051873792} is an apocalyptic number.

3468051873792 is a gapful number since it is divisible by the number (32) 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 3468051873792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846524209900).

3468051873792 is an abundant number, since it is smaller than the sum of its proper divisors (8224996546008).

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

3468051873792 is an frugal number, since it uses more digits than its factorization.

3468051873792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 3468051873792 in words is "three trillion, four hundred sixty-eight billion, fifty-one million, eight hundred seventy-three thousand, seven hundred ninety-two".