3914928 has 60 divisors (see below), whose sum is σ = 11322688. Its totient is φ = 1261440.

The previous prime is 3914923. The next prime is 3914941. The reversal of 3914928 is 8294193.

It is a super-2 number, since 2×3914928² = 30653322490368, which contains 22 as substring.

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 = 3914892 and 3914901.

It is not an unprimeable number, because it can be changed into a prime (3914921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4026 + ... + 4902.

Almost surely, 2^3914928 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 3914928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5661344).

3914928 is an abundant number, since it is smaller than the sum of its proper divisors (7407760).

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

3914928 is a wasteful number, since it uses less digits than its factorization.

3914928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 913 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 3914928 is about 1978.6176993042. The cubic root of 3914928 is about 157.6066699918.

The spelling of 3914928 in words is "three million, nine hundred fourteen thousand, nine hundred twenty-eight".