3256770240 has 560 divisors, whose sum is σ = 12945160800. Its totient is φ = 772374528.

The previous prime is 3256770233. The next prime is 3256770263. The reversal of 3256770240 is 420776523.

It is a happy number.

3256770240 is a `hidden beast` number, since 3 + 2 + 567 + 70 + 24 + 0 = 666.

It is a super-2 number, since 2×3256770240² = 21213104792299315200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3256770195 and 3256770204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8371966 + ... + 8372354.

Almost surely, 2^3256770240 is an apocalyptic number.

3256770240 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 3256770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6472580400).

3256770240 is an abundant number, since it is smaller than the sum of its proper divisors (9688390560).

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

3256770240 is a wasteful number, since it uses less digits than its factorization.

3256770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 3256770240 is about 57068.1192961534. The cubic root of 3256770240 is about 1482.2758751451.

The spelling of 3256770240 in words is "three billion, two hundred fifty-six million, seven hundred seventy thousand, two hundred forty".