3361920 has 128 divisors (see below), whose sum is σ = 11456640. Its totient is φ = 835584.

The previous prime is 3361913. The next prime is 3361951. The reversal of 3361920 is 291633.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3361920² = 22605012172800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32589 + ... + 32691.

It is an arithmetic number, because the mean of its divisors is an integer number (89505).

Almost surely, 2^3361920 is an apocalyptic number.

3361920 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 3361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728320).

3361920 is an abundant number, since it is smaller than the sum of its proper divisors (8094720).

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

3361920 is a wasteful number, since it uses less digits than its factorization.

3361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 3361920 is about 1833.5539261227. The cubic root of 3361920 is about 149.8059713497.

The spelling of 3361920 in words is "three million, three hundred sixty-one thousand, nine hundred twenty".