3241059840 has 480 divisors, whose sum is σ = 11903988096. Its totient is φ = 813957120.

The previous prime is 3241059823. The next prime is 3241059851. The reversal of 3241059840 is 489501423.

3241059840 is a `hidden beast` number, since 3 + 24 + 1 + 0 + 598 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 3241059795 and 3241059804.

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 47 ways as a sum of consecutive naturals, for example, 44398044 + ... + 44398116.

Almost surely, 2^3241059840 is an apocalyptic number.

3241059840 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 3241059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5951994048).

3241059840 is an abundant number, since it is smaller than the sum of its proper divisors (8662928256).

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

3241059840 is a wasteful number, since it uses less digits than its factorization.

3241059840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3241059840 is about 56930.3068672566. The cubic root of 3241059840 is about 1479.8885720833. Note that the first 3 decimals are identical.

The spelling of 3241059840 in words is "three billion, two hundred forty-one million, fifty-nine thousand, eight hundred forty".