3456495672 has 192 divisors, whose sum is σ = 10273324320. Its totient is φ = 966131712.

The previous prime is 3456495619. The next prime is 3456495767. The reversal of 3456495672 is 2765946543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17909208 + ... + 17909400.

Almost surely, 2^3456495672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3456495672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136662160).

3456495672 is an abundant number, since it is smaller than the sum of its proper divisors (6816828648).

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

3456495672 is a wasteful number, since it uses less digits than its factorization.

3456495672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 459 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 51.

The square root of 3456495672 is about 58791.9694516181. The cubic root of 3456495672 is about 1511.9775373892.

The spelling of 3456495672 in words is "three billion, four hundred fifty-six million, four hundred ninety-five thousand, six hundred seventy-two".