3916801900 has 72 divisors (see below), whose sum is σ = 9294405120. Its totient is φ = 1420872000.

The previous prime is 3916801891. The next prime is 3916801901. The reversal of 3916801900 is 91086193.

It is a super-2 number, since 2×3916801900² = 30682674247687220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3916801900.

It is not an unprimeable number, because it can be changed into a prime (3916801901) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 478845 + ... + 486955.

It is an arithmetic number, because the mean of its divisors is an integer number (129088960).

Almost surely, 2^3916801900 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 3916801900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647202560).

3916801900 is an abundant number, since it is smaller than the sum of its proper divisors (5377603220).

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

3916801900 is a wasteful number, since it uses less digits than its factorization.

3916801900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8575 (or 8568 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The square root of 3916801900 is about 62584.3582694590. The cubic root of 3916801900 is about 1576.3181238943.

The spelling of 3916801900 in words is "three billion, nine hundred sixteen million, eight hundred one thousand, nine hundred".