3491331840 has 216 divisors, whose sum is σ = 12407635968. Its totient is φ = 905748480.

The previous prime is 3491331829. The next prime is 3491331859. The reversal of 3491331840 is 481331943.

3491331840 is a `hidden beast` number, since 349 + 133 + 184 + 0 = 666.

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 = 3491331795 and 3491331804.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 422145 + ... + 430335.

Almost surely, 2^3491331840 is an apocalyptic number.

3491331840 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 3491331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6203817984).

3491331840 is an abundant number, since it is smaller than the sum of its proper divisors (8916304128).

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

3491331840 is a wasteful number, since it uses less digits than its factorization.

3491331840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8255 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3491331840 is about 59087.4930928703. The cubic root of 3491331840 is about 1517.0400383878.

The spelling of 3491331840 in words is "three billion, four hundred ninety-one million, three hundred thirty-one thousand, eight hundred forty".