3714729984 has 360 divisors, whose sum is σ = 12935392470. Its totient is φ = 1059028992.

The previous prime is 3714729979. The next prime is 3714730001. The reversal of 3714729984 is 4899274173.

3714729984 is a `hidden beast` number, since 3 + 7 + 1 + 472 + 99 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2540160000 + 1174569984 = 50400^2 + 34272^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3714729984.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8128284 + ... + 8128740.

Almost surely, 2^3714729984 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 3714729984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6467696235).

3714729984 is an abundant number, since it is smaller than the sum of its proper divisors (9220662486).

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

3714729984 is an equidigital number, since it uses as much as digits as its factorization.

3714729984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 469 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 3714729984 is about 60948.5847579745. The cubic root of 3714729984 is about 1548.7301405095.

The spelling of 3714729984 in words is "three billion, seven hundred fourteen million, seven hundred twenty-nine thousand, nine hundred eighty-four".