3256536000 has 224 divisors, whose sum is σ = 10985674752. Its totient is φ = 849638400.

The previous prime is 3256535977. The next prime is 3256536007. The reversal of 3256536000 is 6356523.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3256536007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1126557 + ... + 1129443.

Almost surely, 2^3256536000 is an apocalyptic number.

3256536000 is a gapful number since it is divisible by the number (30) 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 3256536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5492837376).

3256536000 is an abundant number, since it is smaller than the sum of its proper divisors (7729138752).

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

3256536000 is a wasteful number, since it uses less digits than its factorization.

3256536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 3256536000 is about 57066.0669750422. The cubic root of 3256536000 is about 1482.2403372144.

The spelling of 3256536000 in words is "three billion, two hundred fifty-six million, five hundred thirty-six thousand".