3904320 has 168 divisors, whose sum is σ = 14593824. Its totient is φ = 881664.

The previous prime is 3904309. The next prime is 3904321. The reversal of 3904320 is 234093.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3904321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46999 + ... + 47081.

It is an arithmetic number, because the mean of its divisors is an integer number (86868).

Almost surely, 2^3904320 is an apocalyptic number.

3904320 is a gapful number since it is divisible by the number (30) 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 3904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7296912).

3904320 is an abundant number, since it is smaller than the sum of its proper divisors (10689504).

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

3904320 is a wasteful number, since it uses less digits than its factorization.

3904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3904320 is about 1975.9352216103. The cubic root of 3904320 is about 157.4641893893.

It can be divided in two parts, 3904 and 320, that added together give a palindrome (4224).

The spelling of 3904320 in words is "three million, nine hundred four thousand, three hundred twenty".