3256542720 has 240 divisors, whose sum is σ = 11340961632. Its totient is φ = 863600640.

The previous prime is 3256542689. The next prime is 3256542743. The reversal of 3256542720 is 272456523.

3256542720 is a `hidden beast` number, since 32 + 565 + 42 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6473989 + ... + 6474491.

Almost surely, 2^3256542720 is an apocalyptic number.

3256542720 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 3256542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5670480816).

3256542720 is an abundant number, since it is smaller than the sum of its proper divisors (8084418912).

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

3256542720 is a wasteful number, since it uses less digits than its factorization.

3256542720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 3256542720 is about 57066.1258541352. The cubic root of 3256542720 is about 1482.2413567690.

The spelling of 3256542720 in words is "three billion, two hundred fifty-six million, five hundred forty-two thousand, seven hundred twenty".