3970851840 has 528 divisors, whose sum is σ = 15071193072. Its totient is φ = 962592768.

The previous prime is 3970851821. The next prime is 3970851847. The reversal of 3970851840 is 481580793.

3970851840 is a `hidden beast` number, since 3 + 97 + 0 + 8 + 518 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 462422016 + 3508429824 = 21504^2 + 59232^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3970851847) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 28984252 + ... + 28984388.

Almost surely, 2^3970851840 is an apocalyptic number.

3970851840 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 3970851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7535596536).

3970851840 is an abundant number, since it is smaller than the sum of its proper divisors (11100341232).

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

3970851840 is a wasteful number, since it uses less digits than its factorization.

3970851840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3970851840 is about 63014.6954289236. The cubic root of 3970851840 is about 1583.5358297121.

The spelling of 3970851840 in words is "three billion, nine hundred seventy million, eight hundred fifty-one thousand, eight hundred forty".