3456431751168 has 476 divisors, whose sum is σ = 11308418958408. Its totient is φ = 1047244308480.

The previous prime is 3456431751167. The next prime is 3456431751197. The reversal of 3456431751168 is 8611571346543.

3456431751168 is a `hidden beast` number, since 3 + 4 + 5 + 64 + 3 + 1 + 7 + 511 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3456431751161) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 525529896 + ... + 525536472.

Almost surely, 2^{3456431751168} 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 3456431751168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654209479204).

3456431751168 is an abundant number, since it is smaller than the sum of its proper divisors (7851987207240).

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

3456431751168 is an frugal number, since it uses more digits than its factorization.

3456431751168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6638 (or 6593 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 3456431751168 in words is "three trillion, four hundred fifty-six billion, four hundred thirty-one million, seven hundred fifty-one thousand, one hundred sixty-eight".