3293868456 has 256 divisors, whose sum is σ = 10355558400. Its totient is φ = 964389888.

The previous prime is 3293868449. The next prime is 3293868463. The reversal of 3293868456 is 6548683923.

It is an interprime number because it is at equal distance from previous prime (3293868449) and next prime (3293868463).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3631155 + ... + 3632061.

It is an arithmetic number, because the mean of its divisors is an integer number (40451400).

Almost surely, 2^3293868456 is an apocalyptic number.

3293868456 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 3293868456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5177779200).

3293868456 is an abundant number, since it is smaller than the sum of its proper divisors (7061689944).

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

3293868456 is a wasteful number, since it uses less digits than its factorization.

3293868456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 995 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 3293868456 is about 57392.2334118476. The cubic root of 3293868456 is about 1487.8828927088.

The spelling of 3293868456 in words is "three billion, two hundred ninety-three million, eight hundred sixty-eight thousand, four hundred fifty-six".