3414888 has 48 divisors (see below), whose sum is σ = 9472320. Its totient is φ = 1110816.

The previous prime is 3414883. The next prime is 3414893. The reversal of 3414888 is 8884143.

It is an interprime number because it is at equal distance from previous prime (3414883) and next prime (3414893).

It is a super-2 number, since 2×3414888² = 23322920105088, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3414883) 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, 2545 + ... + 3647.

It is an arithmetic number, because the mean of its divisors is an integer number (197340).

Almost surely, 2^3414888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736160).

3414888 is an abundant number, since it is smaller than the sum of its proper divisors (6057432).

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

3414888 is a wasteful number, since it uses less digits than its factorization.

With its successor (3414889) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1151).

3414888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1151 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 3414888 is about 1847.9415575174. The cubic root of 3414888 is about 150.5886204848.

The spelling of 3414888 in words is "three million, four hundred fourteen thousand, eight hundred eighty-eight".