3904416 has 48 divisors (see below), whose sum is σ = 11390400. Its totient is φ = 1301184.

The previous prime is 3904409. The next prime is 3904447. The reversal of 3904416 is 6144093.

3904416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3904416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1396 + ... + 3123.

It is an arithmetic number, because the mean of its divisors is an integer number (237300).

Almost surely, 2^3904416 is an apocalyptic number.

3904416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3904416 is an abundant number, since it is smaller than the sum of its proper divisors (7485984).

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

3904416 is a wasteful number, since it uses less digits than its factorization.

3904416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4538 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3904416 is about 1975.9595137553. The cubic root of 3904416 is about 157.4654799630.

It can be divided in two parts, 39044 and 16, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 3904416 in words is "three million, nine hundred four thousand, four hundred sixteen".