3860957100 has 864 divisors, whose sum is σ = 16102969344. Its totient is φ = 691891200.

The previous prime is 3860957071. The next prime is 3860957101. The reversal of 3860957100 is 17590683.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3860957101) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 89789679 + ... + 89789721.

It is an arithmetic number, because the mean of its divisors is an integer number (18637696).

Almost surely, 2^3860957100 is an apocalyptic number.

3860957100 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 3860957100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8051484672).

3860957100 is an abundant number, since it is smaller than the sum of its proper divisors (12242012244).

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

3860957100 is a wasteful number, since it uses less digits than its factorization.

3860957100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 3860957100 is about 62136.6003254121. The cubic root of 3860957100 is about 1568.7906491480.

The spelling of 3860957100 in words is "three billion, eight hundred sixty million, nine hundred fifty-seven thousand, one hundred".