3709920 has 96 divisors (see below), whose sum is σ = 11975040. Its totient is φ = 965120.

The previous prime is 3709913. The next prime is 3709939. The reversal of 3709920 is 299073.

3709920 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 28255 + ... + 28385.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

Almost surely, 2^3709920 is an apocalyptic number.

3709920 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 3709920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987520).

3709920 is an abundant number, since it is smaller than the sum of its proper divisors (8265120).

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

3709920 is a wasteful number, since it uses less digits than its factorization.

3709920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 3709920 is about 1926.1152613486. The cubic root of 3709920 is about 154.8061398789.

The spelling of 3709920 in words is "three million, seven hundred nine thousand, nine hundred twenty".