3238315920 has 360 divisors, whose sum is σ = 13319504640. Its totient is φ = 701084160.

The previous prime is 3238315909. The next prime is 3238315937. The reversal of 3238315920 is 295138323.

3238315920 is a `hidden beast` number, since 3 + 2 + 38 + 31 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 667905 + ... + 672735.

It is an arithmetic number, because the mean of its divisors is an integer number (36998624).

Almost surely, 2^3238315920 is an apocalyptic number.

3238315920 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 3238315920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6659752320).

3238315920 is an abundant number, since it is smaller than the sum of its proper divisors (10081188720).

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

3238315920 is a wasteful number, since it uses less digits than its factorization.

3238315920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4883 (or 4867 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3238315920 is about 56906.2028253511. The cubic root of 3238315920 is about 1479.4708237196.

The spelling of 3238315920 in words is "three billion, two hundred thirty-eight million, three hundred fifteen thousand, nine hundred twenty".