3546768456 has 288 divisors, whose sum is σ = 12706075200. Its totient is φ = 872467200.

The previous prime is 3546768389. The next prime is 3546768479. The reversal of 3546768456 is 6548676453.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1157166 + ... + 1160226.

Almost surely, 2^3546768456 is an apocalyptic number.

3546768456 is a gapful number since it is divisible by the number (36) 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 3546768456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6353037600).

3546768456 is an abundant number, since it is smaller than the sum of its proper divisors (9159306744).

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

3546768456 is a wasteful number, since it uses less digits than its factorization.

3546768456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121 (or 3103 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The square root of 3546768456 is about 59554.7517499653. The cubic root of 3546768456 is about 1525.0272797772.

The spelling of 3546768456 in words is "three billion, five hundred forty-six million, seven hundred sixty-eight thousand, four hundred fifty-six".