3974806080 has 560 divisors, whose sum is σ = 17024177280. Its totient is φ = 859963392.

The previous prime is 3974806037. The next prime is 3974806103. The reversal of 3974806080 is 806084793.

It is a happy number.

3974806080 is a `hidden beast` number, since 3 + 97 + 480 + 6 + 0 + 80 = 666.

3974806080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3446784 + ... + 3447936.

Almost surely, 2^3974806080 is an apocalyptic number.

3974806080 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 3974806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8512088640).

3974806080 is an abundant number, since it is smaller than the sum of its proper divisors (13049371200).

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

3974806080 is a wasteful number, since it uses less digits than its factorization.

3974806080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3974806080 is about 63046.0631602006. The cubic root of 3974806080 is about 1584.0612923941.

The spelling of 3974806080 in words is "three billion, nine hundred seventy-four million, eight hundred six thousand, eighty".