3392928 has 240 divisors, whose sum is σ = 13172544. Its totient is φ = 829440.

The previous prime is 3392899. The next prime is 3392933. The reversal of 3392928 is 8292933.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3392892 and 3392901.

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, 199576 + ... + 199592.

Almost surely, 2^3392928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3392928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586272).

3392928 is an abundant number, since it is smaller than the sum of its proper divisors (9779616).

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

3392928 is a wasteful number, since it uses less digits than its factorization.

3392928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 40 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3392928 is about 1841.9902279871. The cubic root of 3392928 is about 150.2651310939.

Adding to 3392928 its sum of digits (36), we get a square (3392964 = 1842²).

The spelling of 3392928 in words is "three million, three hundred ninety-two thousand, nine hundred twenty-eight".