3801900 has 144 divisors (see below), whose sum is σ = 12499200. Its totient is φ = 887040.

The previous prime is 3801899. The next prime is 3801937. The reversal of 3801900 is 91083.

It is a super-2 number, since 2×3801900² = 28908887220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131086 + ... + 131114.

It is an arithmetic number, because the mean of its divisors is an integer number (86800).

Almost surely, 2^3801900 is an apocalyptic number.

3801900 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 3801900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249600).

3801900 is an abundant number, since it is smaller than the sum of its proper divisors (8697300).

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

3801900 is a wasteful number, since it uses less digits than its factorization.

3801900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 3801900 is about 1949.8461477768. The cubic root of 3801900 is about 156.0750789165.

Adding to 3801900 its reverse (91083), we get a palindrome (3892983).

The spelling of 3801900 in words is "three million, eight hundred one thousand, nine hundred".