3224862720 has 320 divisors, whose sum is σ = 11609132040. Its totient is φ = 859963392.

The previous prime is 3224862709. The next prime is 3224862721. The reversal of 3224862720 is 272684223.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)² ⋅ (3!)⁵.

3224862720 is a `hidden beast` number, since 3 + 2 + 2 + 4 + 8 + 627 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3224862721) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 644972542 + ... + 644972546.

Almost surely, 2^3224862720 is an apocalyptic number.

3224862720 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 3224862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5804566020).

3224862720 is an abundant number, since it is smaller than the sum of its proper divisors (8384269320).

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

3224862720 is an frugal number, since it uses more digits than its factorization.

3224862720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3224862720 is about 56787.8747621356. The cubic root of 3224862720 is about 1477.4192179287.

The spelling of 3224862720 in words is "three billion, two hundred twenty-four million, eight hundred sixty-two thousand, seven hundred twenty".