3286879464 has 128 divisors (see below), whose sum is σ = 9478656000. Its totient is φ = 939340800.

The previous prime is 3286879457. The next prime is 3286879481. The reversal of 3286879464 is 4649786823.

It is a super-2 number, since 2×3286879464² = 21607153221729854592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1207497 + ... + 1210215.

It is an arithmetic number, because the mean of its divisors is an integer number (74052000).

Almost surely, 2^3286879464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3286879464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739328000).

3286879464 is an abundant number, since it is smaller than the sum of its proper divisors (6191776536).

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

3286879464 is a wasteful number, since it uses less digits than its factorization.

3286879464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2995 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 57.

The square root of 3286879464 is about 57331.3131194463. The cubic root of 3286879464 is about 1486.8298082434.

The spelling of 3286879464 in words is "three billion, two hundred eighty-six million, eight hundred seventy-nine thousand, four hundred sixty-four".