3246721920 has 512 divisors, whose sum is σ = 12594960000. Its totient is φ = 785645568.

The previous prime is 3246721913. The next prime is 3246721921. The reversal of 3246721920 is 291276423.

3246721920 is a `hidden beast` number, since 3 + 2 + 467 + 2 + 192 + 0 = 666.

It is a super-4 number, since 4×3246721920⁴ (a number of 39 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3246721921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21790006 + ... + 21790154.

Almost surely, 2^3246721920 is an apocalyptic number.

3246721920 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 3246721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6297480000).

3246721920 is an abundant number, since it is smaller than the sum of its proper divisors (9348238080).

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

3246721920 is a wasteful number, since it uses less digits than its factorization.

3246721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3246721920 is about 56980.0133380118. The cubic root of 3246721920 is about 1480.7498513313.

The spelling of 3246721920 in words is "three billion, two hundred forty-six million, seven hundred twenty-one thousand, nine hundred twenty".