3286920 has 192 divisors, whose sum is σ = 12640320. Its totient is φ = 677376.

The previous prime is 3286909. The next prime is 3286937. The reversal of 3286920 is 296823.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76419 + ... + 76461.

It is an arithmetic number, because the mean of its divisors is an integer number (65835).

Almost surely, 2^3286920 is an apocalyptic number.

3286920 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 3286920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6320160).

3286920 is an abundant number, since it is smaller than the sum of its proper divisors (9353400).

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

3286920 is a wasteful number, since it uses less digits than its factorization.

3286920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3286920 is about 1812.9864864361. The cubic root of 3286920 is about 148.6835920412.

The spelling of 3286920 in words is "three million, two hundred eighty-six thousand, nine hundred twenty".