4287950100 has 216 divisors, whose sum is σ = 15506382528. Its totient is φ = 970790400.

The previous prime is 4287950083. The next prime is 4287950123. The reversal of 4287950100 is 10597824.

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 670920 + ... + 677280.

It is an arithmetic number, because the mean of its divisors is an integer number (71788808).

Almost surely, 2^4287950100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4287950100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7753191264).

4287950100 is an abundant number, since it is smaller than the sum of its proper divisors (11218432428).

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

4287950100 is a wasteful number, since it uses less digits than its factorization.

4287950100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6495 (or 6485 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 4287950100 is about 65482.4411579165. The cubic root of 4287950100 is about 1624.6129381871.

The spelling of 4287950100 in words is "four billion, two hundred eighty-seven million, nine hundred fifty thousand, one hundred".