3260743920 has 240 divisors, whose sum is σ = 12572052480. Its totient is φ = 741920256.

The previous prime is 3260743901. The next prime is 3260743921. The reversal of 3260743920 is 293470623.

It is a happy number.

3260743920 is a `hidden beast` number, since 3 + 2 + 607 + 43 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (3260743921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1203207 + ... + 1205913.

It is an arithmetic number, because the mean of its divisors is an integer number (52383552).

Almost surely, 2^3260743920 is an apocalyptic number.

3260743920 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 3260743920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286026240).

3260743920 is an abundant number, since it is smaller than the sum of its proper divisors (9311308560).

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

3260743920 is a wasteful number, since it uses less digits than its factorization.

3260743920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3260743920 is about 57102.9239181322. The cubic root of 3260743920 is about 1482.8784860788.

The spelling of 3260743920 in words is "three billion, two hundred sixty million, seven hundred forty-three thousand, nine hundred twenty".