3255945840 has 240 divisors, whose sum is σ = 12609425088. Its totient is φ = 737501184.

The previous prime is 3255945827. The next prime is 3255945851. The reversal of 3255945840 is 485495523.

3255945840 is a `hidden beast` number, since 3 + 2 + 5 + 594 + 58 + 4 + 0 = 666.

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

It is a super-4 number, since 4×3255945840⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 566662 + ... + 572378.

Almost surely, 2^3255945840 is an apocalyptic number.

3255945840 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 3255945840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6304712544).

3255945840 is an abundant number, since it is smaller than the sum of its proper divisors (9353479248).

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

3255945840 is a wasteful number, since it uses less digits than its factorization.

3255945840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5856 (or 5847 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 3255945840 is about 57060.8958920205. The cubic root of 3255945840 is about 1482.1507930070.

The spelling of 3255945840 in words is "three billion, two hundred fifty-five million, nine hundred forty-five thousand, eight hundred forty".