3281406464 has 160 divisors (see below), whose sum is σ = 7779252096. Its totient is φ = 1353646080.

The previous prime is 3281406413. The next prime is 3281406493. The reversal of 3281406464 is 4646041823.

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 15 ways as a sum of consecutive naturals, for example, 20131247 + ... + 20131409.

Almost surely, 2^3281406464 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 3281406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3889626048).

3281406464 is an abundant number, since it is smaller than the sum of its proper divisors (4497845632).

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

3281406464 is a wasteful number, since it uses less digits than its factorization.

3281406464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 3281406464 is about 57283.5619004265. The cubic root of 3281406464 is about 1486.0041071120.

The spelling of 3281406464 in words is "three billion, two hundred eighty-one million, four hundred six thousand, four hundred sixty-four".