3281874624 has 224 divisors, whose sum is σ = 11094720000. Its totient is φ = 931875840.

The previous prime is 3281874611. The next prime is 3281874637. The reversal of 3281874624 is 4264781823.

It is a happy number.

3281874624 is a `hidden beast` number, since 3 + 2 + 8 + 18 + 7 + 4 + 624 = 666.

3281874624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3281874611) and next prime (3281874637).

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3281874624.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2188627 + ... + 2190125.

It is an arithmetic number, because the mean of its divisors is an integer number (49530000).

Almost surely, 2^3281874624 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 3281874624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5547360000).

3281874624 is an abundant number, since it is smaller than the sum of its proper divisors (7812845376).

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

3281874624 is a wasteful number, since it uses less digits than its factorization.

3281874624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1692 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 3281874624 is about 57287.6480927608. The cubic root of 3281874624 is about 1486.0747734160.

The spelling of 3281874624 in words is "three billion, two hundred eighty-one million, eight hundred seventy-four thousand, six hundred twenty-four".