3414840 has 128 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 760320.

The previous prime is 3414809. The next prime is 3414857. The reversal of 3414840 is 484143.

It is a super-2 number, since 2×3414840² = 23322264451200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3414840.

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, 17061 + ... + 17259.

It is an arithmetic number, because the mean of its divisors is an integer number (94500).

Almost surely, 2^3414840 is an apocalyptic number.

3414840 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 3414840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000).

3414840 is an abundant number, since it is smaller than the sum of its proper divisors (8681160).

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

3414840 is a wasteful number, since it uses less digits than its factorization.

3414840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 3414840 is about 1847.9285700481. The cubic root of 3414840 is about 150.5879149187.

Adding to 3414840 its reverse (484143), we get a palindrome (3898983).

The spelling of 3414840 in words is "three million, four hundred fourteen thousand, eight hundred forty".