3368928 has 48 divisors (see below), whose sum is σ = 9313920. Its totient is φ = 1063296.

The previous prime is 3368923. The next prime is 3368951. The reversal of 3368928 is 8298633.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3368928² = 22699351738368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3368923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 901 + ... + 2747.

It is an arithmetic number, because the mean of its divisors is an integer number (194040).

Almost surely, 2^3368928 is an apocalyptic number.

3368928 is a gapful number since it is divisible by the number (38) 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 3368928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656960).

3368928 is an abundant number, since it is smaller than the sum of its proper divisors (5944992).

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

3368928 is a wasteful number, since it uses less digits than its factorization.

3368928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1871 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 3368928 is about 1835.4639740404. The cubic root of 3368928 is about 149.9099904438.

The spelling of 3368928 in words is "three million, three hundred sixty-eight thousand, nine hundred twenty-eight".