3916273920 has 288 divisors, whose sum is σ = 14182089600. Its totient is φ = 913047552.

The previous prime is 3916273913. The next prime is 3916273943. The reversal of 3916273920 is 293726193.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 946416 + ... + 950544.

Almost surely, 2^3916273920 is an apocalyptic number.

3916273920 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 3916273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7091044800).

3916273920 is an abundant number, since it is smaller than the sum of its proper divisors (10265815680).

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

3916273920 is a wasteful number, since it uses less digits than its factorization.

3916273920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4185 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 3916273920 is about 62580.1399806680. The cubic root of 3916273920 is about 1576.2472921406.

It can be divided in two parts, 3916273 and 920, that added together give a palindrome (3917193).

The spelling of 3916273920 in words is "three billion, nine hundred sixteen million, two hundred seventy-three thousand, nine hundred twenty".