3970805760 has 416 divisors, whose sum is σ = 14531489280. Its totient is φ = 1028063232.

The previous prime is 3970805723. The next prime is 3970805771. The reversal of 3970805760 is 675080793.

It is a happy number.

3970805760 is a `hidden beast` number, since 3 + 9 + 70 + 8 + 0 + 576 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23777197 + ... + 23777363.

Almost surely, 2^3970805760 is an apocalyptic number.

3970805760 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 3970805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7265744640).

3970805760 is an abundant number, since it is smaller than the sum of its proper divisors (10560683520).

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

3970805760 is a wasteful number, since it uses less digits than its factorization.

3970805760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 3970805760 is about 63014.3297988640. The cubic root of 3970805760 is about 1583.5297042747.

The spelling of 3970805760 in words is "three billion, nine hundred seventy million, eight hundred five thousand, seven hundred sixty".