3431056860 has 768 divisors, whose sum is σ = 14476492800. Its totient is φ = 653184000.

The previous prime is 3431056847. The next prime is 3431056891. The reversal of 3431056860 is 686501343.

3431056860 is a `hidden beast` number, since 3 + 4 + 31 + 0 + 568 + 60 = 666.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 33970810 + ... + 33970910.

It is an arithmetic number, because the mean of its divisors is an integer number (18849600).

Almost surely, 2^3431056860 is an apocalyptic number.

3431056860 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 3431056860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238246400).

3431056860 is an abundant number, since it is smaller than the sum of its proper divisors (11045435940).

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

3431056860 is a wasteful number, since it uses less digits than its factorization.

3431056860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3431056860 is about 58575.2239432339. The cubic root of 3431056860 is about 1508.2591607113.

The spelling of 3431056860 in words is "three billion, four hundred thirty-one million, fifty-six thousand, eight hundred sixty".