3901200 has 60 divisors (see below), whose sum is σ = 12500688. Its totient is φ = 1040000.

The previous prime is 3901199. The next prime is 3901201. The reversal of 3901200 is 21093.

It is an interprime number because it is at equal distance from previous prime (3901199) and next prime (3901201).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×3901200² = 30438722880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3901200.

It is not an unprimeable number, because it can be changed into a prime (3901201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 426 + ... + 2825.

Almost surely, 2^3901200 is an apocalyptic number.

3901200 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 3901200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6250344).

3901200 is an abundant number, since it is smaller than the sum of its proper divisors (8599488).

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

3901200 is a wasteful number, since it uses less digits than its factorization.

3901200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 3901200 is about 1975.1455642560. The cubic root of 3901200 is about 157.4222342221.

Adding to 3901200 its reverse (21093), we get a palindrome (3922293).

The spelling of 3901200 in words is "three million, nine hundred one thousand, two hundred".