3976622100 has 648 divisors, whose sum is σ = 15375578400. Its totient is φ = 881798400.

The previous prime is 3976622059. The next prime is 3976622149. The reversal of 3976622100 is 12266793.

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

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 215 ways as a sum of consecutive naturals, for example, 137124886 + ... + 137124914.

Almost surely, 2^3976622100 is an apocalyptic number.

3976622100 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 3976622100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7687789200).

3976622100 is an abundant number, since it is smaller than the sum of its proper divisors (11398956300).

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

3976622100 is a wasteful number, since it uses less digits than its factorization.

3976622100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3976622100 is about 63060.4638422522. The cubic root of 3976622100 is about 1584.3024990458.

Adding to 3976622100 its reverse (12266793), we get a palindrome (3988888893).

The spelling of 3976622100 in words is "three billion, nine hundred seventy-six million, six hundred twenty-two thousand, one hundred".