3904776 has 48 divisors (see below), whose sum is σ = 10668060. Its totient is φ = 1290240.

The previous prime is 3904759. The next prime is 3904801. The reversal of 3904776 is 6774093.

It can be written as a sum of positive squares in 2 ways, for example, as 3896676 + 8100 = 1974^2 + 90^2 .

It is a super-2 number, since 2×3904776² = 30494551220352, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3904776.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13756 + ... + 14036.

Almost surely, 2^3904776 is an apocalyptic number.

3904776 is a gapful number since it is divisible by the number (36) 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 3904776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334030).

3904776 is an abundant number, since it is smaller than the sum of its proper divisors (6763284).

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

3904776 is a wasteful number, since it uses less digits than its factorization.

3904776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3904776 is about 1976.0506066394. The cubic root of 3904776 is about 157.4703194260.

Subtracting from 3904776 its product of nonzero digits (31752), we obtain a square (3873024 = 1968²).

The spelling of 3904776 in words is "three million, nine hundred four thousand, seven hundred seventy-six".