3904628 has 48 divisors (see below), whose sum is σ = 8918784. Its totient is φ = 1451520.

The previous prime is 3904603. The next prime is 3904631. The reversal of 3904628 is 8264093.

It is a super-2 number, since 2×3904628² = 30492239636768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3904594 and 3904603.

It is a congruent number.

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, 5873 + ... + 6503.

It is an arithmetic number, because the mean of its divisors is an integer number (185808).

Almost surely, 2^3904628 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 3904628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459392).

3904628 is an abundant number, since it is smaller than the sum of its proper divisors (5014156).

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

3904628 is a wasteful number, since it uses less digits than its factorization.

3904628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 3904628 is about 1976.0131578509. The cubic root of 3904628 is about 157.4683299050.

The spelling of 3904628 in words is "three million, nine hundred four thousand, six hundred twenty-eight".