3917824640 has 128 divisors (see below), whose sum is σ = 9730506240. Its totient is φ = 1506816000.

The previous prime is 3917824621. The next prime is 3917824717. The reversal of 3917824640 is 464287193.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3917824640² = 30698699819582259200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3917824591 and 3917824600.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3590495 + ... + 3591585.

It is an arithmetic number, because the mean of its divisors is an integer number (76019580).

Almost surely, 2^3917824640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3917824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4865253120).

3917824640 is an abundant number, since it is smaller than the sum of its proper divisors (5812681600).

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

3917824640 is a wasteful number, since it uses less digits than its factorization.

3917824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 3917824640 is about 62592.5286276246. The cubic root of 3917824640 is about 1576.4553126296.

The spelling of 3917824640 in words is "three billion, nine hundred seventeen million, eight hundred twenty-four thousand, six hundred forty".