3204061920 has 288 divisors, whose sum is σ = 11835113472. Its totient is φ = 817039872.

The previous prime is 3204061877. The next prime is 3204061921. The reversal of 3204061920 is 291604023.

3204061920 is a `hidden beast` number, since 3 + 2 + 0 + 40 + 619 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3204061921) 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, 892449 + ... + 896031.

It is an arithmetic number, because the mean of its divisors is an integer number (41094144).

Almost surely, 2^3204061920 is an apocalyptic number.

3204061920 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 3204061920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5917556736).

3204061920 is an abundant number, since it is smaller than the sum of its proper divisors (8631051552).

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

3204061920 is a wasteful number, since it uses less digits than its factorization.

3204061920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3636 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3204061920 is about 56604.4337486031. The cubic root of 3204061920 is about 1474.2358458756.

Adding to 3204061920 its reverse (291604023), we get a palindrome (3495665943).

The spelling of 3204061920 in words is "three billion, two hundred four million, sixty-one thousand, nine hundred twenty".