3916639440 has 320 divisors, whose sum is σ = 15836843520. Its totient is φ = 870912000.

The previous prime is 3916639429. The next prime is 3916639501. The reversal of 3916639440 is 449366193.

3916639440 is a `hidden beast` number, since 3 + 9 + 1 + 6 + 639 + 4 + 4 + 0 = 666.

3916639440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3916639440³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 555940 + ... + 562940.

It is an arithmetic number, because the mean of its divisors is an integer number (49490136).

Almost surely, 2^3916639440 is an apocalyptic number.

3916639440 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 3916639440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7918421760).

3916639440 is an abundant number, since it is smaller than the sum of its proper divisors (11920204080).

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

3916639440 is a wasteful number, since it uses less digits than its factorization.

3916639440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7067 (or 7055 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3916639440 is about 62583.0603278555. The cubic root of 3916639440 is about 1576.2963295674.

It can be divided in two parts, 39166 and 39440, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 3916639440 in words is "three billion, nine hundred sixteen million, six hundred thirty-nine thousand, four hundred forty".