3414960 has 200 divisors, whose sum is σ = 12963456. Its totient is φ = 829440.

The previous prime is 3414947. The next prime is 3414997. The reversal of 3414960 is 694143.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110145 + ... + 110175.

Almost surely, 2^3414960 is an apocalyptic number.

3414960 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 3414960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6481728).

3414960 is an abundant number, since it is smaller than the sum of its proper divisors (9548496).

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

3414960 is a wasteful number, since it uses less digits than its factorization.

3414960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3414960 is about 1847.9610385503. The cubic root of 3414960 is about 150.5896788216.

The spelling of 3414960 in words is "three million, four hundred fourteen thousand, nine hundred sixty".