3286914120 has 512 divisors, whose sum is σ = 13478400000. Its totient is φ = 710228736.

The previous prime is 3286914089. The next prime is 3286914149. The reversal of 3286914120 is 214196823.

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 127 ways as a sum of consecutive naturals, for example, 7038127 + ... + 7038593.

It is an arithmetic number, because the mean of its divisors is an integer number (26325000).

Almost surely, 2^3286914120 is an apocalyptic number.

3286914120 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 3286914120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739200000).

3286914120 is an abundant number, since it is smaller than the sum of its proper divisors (10191485880).

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

3286914120 is a wasteful number, since it uses less digits than its factorization.

3286914120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3286914120 is about 57331.6153618577. The cubic root of 3286914120 is about 1486.8350338069.

The spelling of 3286914120 in words is "three billion, two hundred eighty-six million, nine hundred fourteen thousand, one hundred twenty".