3993174240 has 288 divisors, whose sum is σ = 13935952800. Its totient is φ = 960368640.

The previous prime is 3993174181. The next prime is 3993174247. The reversal of 3993174240 is 424713993.

It is a junction number, because it is equal to n+sod(n) for n = 3993174192 and 3993174201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3993174247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11441586 + ... + 11441934.

It is an arithmetic number, because the mean of its divisors is an integer number (48388725).

Almost surely, 2^3993174240 is an apocalyptic number.

3993174240 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 3993174240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967976400).

3993174240 is an abundant number, since it is smaller than the sum of its proper divisors (9942778560).

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

3993174240 is a wasteful number, since it uses less digits than its factorization.

3993174240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 3993174240 is about 63191.5677919135. The cubic root of 3993174240 is about 1586.4976029956.

The spelling of 3993174240 in words is "three billion, nine hundred ninety-three million, one hundred seventy-four thousand, two hundred forty".