3898080 has 72 divisors (see below), whose sum is σ = 13307112. Its totient is φ = 1039104.

The previous prime is 3898073. The next prime is 3898087. The reversal of 3898080 is 808983.

It is an interprime number because it is at equal distance from previous prime (3898073) and next prime (3898087).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3898087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87 + ... + 2793.

It is an arithmetic number, because the mean of its divisors is an integer number (184821).

Almost surely, 2^3898080 is an apocalyptic number.

3898080 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 3898080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6653556).

3898080 is an abundant number, since it is smaller than the sum of its proper divisors (9409032).

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

3898080 is a wasteful number, since it uses less digits than its factorization.

3898080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2717 counting only the distinct ones).

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

The square root of 3898080 is about 1974.3555910727. The cubic root of 3898080 is about 157.3802566798.

It can be divided in two parts, 38980 and 80, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 3898080 in words is "three million, eight hundred ninety-eight thousand, eighty".