3970637100 has 216 divisors, whose sum is σ = 13253058000. Its totient is φ = 991457280.

The previous prime is 3970637089. The next prime is 3970637101. The reversal of 3970637100 is 17360793.

3970637100 is a `hidden beast` number, since 3 + 9 + 7 + 0 + 637 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3970637101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1520596 + ... + 1523204.

It is an arithmetic number, because the mean of its divisors is an integer number (61356750).

Almost surely, 2^3970637100 is an apocalyptic number.

3970637100 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 3970637100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6626529000).

3970637100 is an abundant number, since it is smaller than the sum of its proper divisors (9282420900).

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

3970637100 is a wasteful number, since it uses less digits than its factorization.

3970637100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 3970637100 is about 63012.9915176228. The cubic root of 3970637100 is about 1583.5072838125.

Adding to 3970637100 its reverse (17360793), we get a palindrome (3987997893).

The spelling of 3970637100 in words is "three billion, nine hundred seventy million, six hundred thirty-seven thousand, one hundred".