3917244240 has 900 divisors, whose sum is σ = 17372246364. Its totient is φ = 815173632.

The previous prime is 3917244239. The next prime is 3917244271. The reversal of 3917244240 is 424427193.

3917244240 is a `hidden beast` number, since 3 + 9 + 172 + 442 + 40 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 673713936 + 3243530304 = 25956^2 + 56952^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3917244195 and 3917244204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 53660844 + ... + 53660916.

Almost surely, 2^3917244240 is an apocalyptic number.

3917244240 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 3917244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8686123182).

3917244240 is an abundant number, since it is smaller than the sum of its proper divisors (13455002124).

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

3917244240 is a wasteful number, since it uses less digits than its factorization.

3917244240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3917244240 is about 62587.8921198022. The cubic root of 3917244240 is about 1576.3774616167.

The spelling of 3917244240 in words is "three billion, nine hundred seventeen million, two hundred forty-four thousand, two hundred forty".