3889200 has 120 divisors (see below), whose sum is σ = 14268928. Its totient is φ = 887040.

The previous prime is 3889199. The next prime is 3889201. The reversal of 3889200 is 29883.

3889200 = 333² + 334² + ... + 364².

It is an interprime number because it is at equal distance from previous prime (3889199) and next prime (3889201).

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3889201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8169 + ... + 8631.

Almost surely, 2^3889200 is an apocalyptic number.

3889200 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 3889200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7134464).

3889200 is an abundant number, since it is smaller than the sum of its proper divisors (10379728).

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

3889200 is a wasteful number, since it uses less digits than its factorization.

3889200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 3889200 is about 1972.1054738528. The cubic root of 3889200 is about 157.2606594045.

The spelling of 3889200 in words is "three million, eight hundred eighty-nine thousand, two hundred".