3244879872 has 416 divisors, whose sum is σ = 10806877760. Its totient is φ = 955514880.

The previous prime is 3244879867. The next prime is 3244879901. The reversal of 3244879872 is 2789784423.

It is a happy number.

3244879872 is a `hidden beast` number, since 3 + 2 + 4 + 487 + 98 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5419008) is a multiple of the sum of its prime factors (144).

It is a congruent number.

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, 53194722 + ... + 53194782.

Almost surely, 2^3244879872 is an apocalyptic number.

3244879872 is a gapful number since it is divisible by the number (32) 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 3244879872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5403438880).

3244879872 is an abundant number, since it is smaller than the sum of its proper divisors (7561997888).

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

3244879872 is a wasteful number, since it uses less digits than its factorization.

3244879872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 116 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 3244879872 is about 56963.8470610966. The cubic root of 3244879872 is about 1480.4697607893.

The spelling of 3244879872 in words is "three billion, two hundred forty-four million, eight hundred seventy-nine thousand, eight hundred seventy-two".