3241386720 has 864 divisors, whose sum is σ = 13834600416. Its totient is φ = 711659520.

The previous prime is 3241386697. The next prime is 3241386751. The reversal of 3241386720 is 276831423.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61158214 + ... + 61158266.

It is an arithmetic number, because the mean of its divisors is an integer number (16012269).

Almost surely, 2^3241386720 is an apocalyptic number.

3241386720 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 3241386720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6917300208).

3241386720 is an abundant number, since it is smaller than the sum of its proper divisors (10593213696).

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

3241386720 is a wasteful number, since it uses less digits than its factorization.

3241386720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3241386720 is about 56933.1776734796. The cubic root of 3241386720 is about 1479.9383222410.

The spelling of 3241386720 in words is "three billion, two hundred forty-one million, three hundred eighty-six thousand, seven hundred twenty".