3251978496 has 144 divisors (see below), whose sum is σ = 10356702720. Its totient is φ = 1000581120.

The previous prime is 3251978473. The next prime is 3251978563. The reversal of 3251978496 is 6948791523.

3251978496 is a `hidden beast` number, since 32 + 51 + 9 + 78 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71761 + ... + 107951.

Almost surely, 2^3251978496 is an apocalyptic number.

3251978496 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 3251978496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5178351360).

3251978496 is an abundant number, since it is smaller than the sum of its proper divisors (7104724224).

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

3251978496 is a wasteful number, since it uses less digits than its factorization.

3251978496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36229 (or 36209 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 3251978496 is about 57026.1211726696. The cubic root of 3251978496 is about 1481.5485520311.

The spelling of 3251978496 in words is "three billion, two hundred fifty-one million, nine hundred seventy-eight thousand, four hundred ninety-six".