3256479744 has 312 divisors, whose sum is σ = 10621826688. Its totient is φ = 869007360.

The previous prime is 3256479719. The next prime is 3256479839. The reversal of 3256479744 is 4479746523.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (5080320) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24858559 + ... + 24858689.

Almost surely, 2^3256479744 is an apocalyptic number.

3256479744 is a gapful number since it is divisible by the number (34) 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 3256479744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5310913344).

3256479744 is an abundant number, since it is smaller than the sum of its proper divisors (7365346944).

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

3256479744 is a wasteful number, since it uses less digits than its factorization.

3256479744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 160 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 51.

The square root of 3256479744 is about 57065.5740705375. The cubic root of 3256479744 is about 1482.2318020314.

The spelling of 3256479744 in words is "three billion, two hundred fifty-six million, four hundred seventy-nine thousand, seven hundred forty-four".