3416280 has 128 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 771456.

The previous prime is 3416279. The next prime is 3416297. The reversal of 3416280 is 826143.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3416280.

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, 41119 + ... + 41201.

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

Almost surely, 2^3416280 is an apocalyptic number.

3416280 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 3416280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000).

3416280 is an abundant number, since it is smaller than the sum of its proper divisors (8679720).

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

3416280 is a wasteful number, since it uses less digits than its factorization.

3416280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3416280 is about 1848.3181544312. The cubic root of 3416280 is about 150.6090790263.

The spelling of 3416280 in words is "three million, four hundred sixteen thousand, two hundred eighty".