3936810240 has 432 divisors, whose sum is σ = 15198333696. Its totient is φ = 932659200.

The previous prime is 3936810181. The next prime is 3936810263. The reversal of 3936810240 is 420186393.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 3936810195 and 3936810204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5955510 + ... + 5956170.

It is an arithmetic number, because the mean of its divisors is an integer number (35181328).

Almost surely, 2^3936810240 is an apocalyptic number.

3936810240 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 3936810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7599166848).

3936810240 is an abundant number, since it is smaller than the sum of its proper divisors (11261523456).

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

3936810240 is a wasteful number, since it uses less digits than its factorization.

3936810240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3936810240 is about 62744.0056100979. The cubic root of 3936810240 is about 1578.9976872104.

The spelling of 3936810240 in words is "three billion, nine hundred thirty-six million, eight hundred ten thousand, two hundred forty".