3898800 has 180 divisors, whose sum is σ = 14645640. Its totient is φ = 984960.

The previous prime is 3898771. The next prime is 3898841. The reversal of 3898800 is 88983.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 205191 + ... + 205209.

Almost surely, 2^3898800 is an apocalyptic number.

3898800 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 3898800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7322820).

3898800 is an abundant number, since it is smaller than the sum of its proper divisors (10746840).

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

3898800 is a wasteful number, since it uses less digits than its factorization.

3898800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 3898800 is about 1974.5379206285. The cubic root of 3898800 is about 157.3899457925.

The spelling of 3898800 in words is "three million, eight hundred ninety-eight thousand, eight hundred".