3238523820 has 288 divisors, whose sum is σ = 11508352128. Its totient is φ = 721944576.

The previous prime is 3238523807. The next prime is 3238523879. The reversal of 3238523820 is 283258323.

It is a happy number.

3238523820 is a `hidden beast` number, since 323 + 85 + 238 + 20 = 666.

3238523820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12601132 + ... + 12601388.

It is an arithmetic number, because the mean of its divisors is an integer number (39959556).

Almost surely, 2^3238523820 is an apocalyptic number.

3238523820 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 3238523820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5754176064).

3238523820 is an abundant number, since it is smaller than the sum of its proper divisors (8269828308).

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

3238523820 is a wasteful number, since it uses less digits than its factorization.

3238523820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3238523820 is about 56908.0294861806. The cubic root of 3238523820 is about 1479.5024837356.

The spelling of 3238523820 in words is "three billion, two hundred thirty-eight million, five hundred twenty-three thousand, eight hundred twenty".