3685111200 has 720 divisors, whose sum is σ = 14547428280. Its totient is φ = 905748480.

The previous prime is 3685111193. The next prime is 3685111219. The reversal of 3685111200 is 21115863.

3685111200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1191906576 + 2493204624 = 34524^2 + 49932^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 69530374 + ... + 69530426.

Almost surely, 2^3685111200 is an apocalyptic number.

3685111200 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 3685111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7273714140).

3685111200 is an abundant number, since it is smaller than the sum of its proper divisors (10862317080).

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

3685111200 is a wasteful number, since it uses less digits than its factorization.

3685111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 3685111200 is about 60705.1167530382. The cubic root of 3685111200 is about 1544.6029708441.

The spelling of 3685111200 in words is "three billion, six hundred eighty-five million, one hundred eleven thousand, two hundred".