3204411840 has 756 divisors, whose sum is σ = 13770489096. Its totient is φ = 707180544.

The previous prime is 3204411761. The next prime is 3204411841. The reversal of 3204411840 is 481144023.

3204411840 is a `hidden beast` number, since 3 + 204 + 411 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

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 (3204411841) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 110496946 + ... + 110496974.

Almost surely, 2^3204411840 is an apocalyptic number.

3204411840 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 3204411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6885244548).

3204411840 is an abundant number, since it is smaller than the sum of its proper divisors (10566077256).

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

3204411840 is an equidigital number, since it uses as much as digits as its factorization.

3204411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3204411840 is about 56607.5245881676. The cubic root of 3204411840 is about 1474.2895116954.

Adding to 3204411840 its reverse (481144023), we get a palindrome (3685555863).

The spelling of 3204411840 in words is "three billion, two hundred four million, four hundred eleven thousand, eight hundred forty".