3241823040 has 224 divisors, whose sum is σ = 11625803520. Its totient is φ = 850176000.

The previous prime is 3241823033. The next prime is 3241823051. The reversal of 3241823040 is 403281423.

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

It is a junction number, because it is equal to n+sod(n) for n = 3241822995 and 3241823013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 523965 + ... + 530115.

Almost surely, 2^3241823040 is an apocalyptic number.

3241823040 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 3241823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5812901760).

3241823040 is an abundant number, since it is smaller than the sum of its proper divisors (8383980480).

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

3241823040 is a wasteful number, since it uses less digits than its factorization.

3241823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6238 (or 6222 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3241823040 is about 56937.0094051312. The cubic root of 3241823040 is about 1480.0047236275.

It can be divided in two parts, 3241 and 823040, that added together give a square (826281 = 909²).

The spelling of 3241823040 in words is "three billion, two hundred forty-one million, eight hundred twenty-three thousand, forty".