3820100460 has 96 divisors (see below), whose sum is σ = 11679316992. Its totient is φ = 925240320.

The previous prime is 3820100441. The next prime is 3820100467. The reversal of 3820100460 is 640010283.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3820100460.

It is not an unprimeable number, because it can be changed into a prime (3820100467) 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 31 ways as a sum of consecutive naturals, for example, 1023117 + ... + 1026843.

It is an arithmetic number, because the mean of its divisors is an integer number (121659552).

Almost surely, 2^3820100460 is an apocalyptic number.

3820100460 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 3820100460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5839658496).

3820100460 is an abundant number, since it is smaller than the sum of its proper divisors (7859216532).

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

3820100460 is a wasteful number, since it uses less digits than its factorization.

3820100460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5303 (or 5301 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3820100460 is about 61806.9612584214. The cubic root of 3820100460 is about 1563.2373681084.

The spelling of 3820100460 in words is "three billion, eight hundred twenty million, one hundred thousand, four hundred sixty".