3998280 has 128 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 890880.

The previous prime is 3998273. The next prime is 3998299. The reversal of 3998280 is 828993.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17044 + ... + 17276.

It is an arithmetic number, because the mean of its divisors is an integer number (110565).

Almost surely, 2^3998280 is an apocalyptic number.

3998280 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 3998280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).

3998280 is an abundant number, since it is smaller than the sum of its proper divisors (10154040).

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

3998280 is a wasteful number, since it uses less digits than its factorization.

3998280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 3998280 is about 1999.5699537651. The cubic root of 3998280 is about 158.7173491864.

It can be divided in two parts, 3998 and 280, that added together give a triangular number (4278 = T₉₂).

The spelling of 3998280 in words is "three million, nine hundred ninety-eight thousand, two hundred eighty".