3238920080 has 80 divisors (see below), whose sum is σ = 8236080000. Its totient is φ = 1174778880.

The previous prime is 3238920079. The next prime is 3238920107. The reversal of 3238920080 is 800298323.

3238920080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 3238920080.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355421 + ... + 364419.

It is an arithmetic number, because the mean of its divisors is an integer number (102951000).

Almost surely, 2^3238920080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3238920080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118040000).

3238920080 is an abundant number, since it is smaller than the sum of its proper divisors (4997159920).

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

3238920080 is a wasteful number, since it uses less digits than its factorization.

3238920080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9432 (or 9426 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 3238920080 is about 56911.5109621946. The cubic root of 3238920080 is about 1479.5628243699.

The spelling of 3238920080 in words is "three billion, two hundred thirty-eight million, nine hundred twenty thousand, eighty".