3208561920 has 432 divisors, whose sum is σ = 11880872640. Its totient is φ = 797147136.

The previous prime is 3208561913. The next prime is 3208561931. The reversal of 3208561920 is 291658023.

3208561920 is a `hidden beast` number, since 3 + 2 + 0 + 8 + 561 + 92 + 0 = 666.

3208561920 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23420092 + ... + 23420228.

It is an arithmetic number, because the mean of its divisors is an integer number (27502020).

Almost surely, 2^3208561920 is an apocalyptic number.

3208561920 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 3208561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5940436320).

3208561920 is an abundant number, since it is smaller than the sum of its proper divisors (8672310720).

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

3208561920 is a wasteful number, since it uses less digits than its factorization.

3208561920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3208561920 is about 56644.1693380704. The cubic root of 3208561920 is about 1474.9256950024.

The spelling of 3208561920 in words is "three billion, two hundred eight million, five hundred sixty-one thousand, nine hundred twenty".