3706080 has 96 divisors (see below), whose sum is σ = 13353984. Its totient is φ = 846336.

The previous prime is 3706069. The next prime is 3706093. The reversal of 3706080 is 806073.

3706080 is digitally balanced in base 5, 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3706080.

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, 2809 + ... + 3911.

It is an arithmetic number, because the mean of its divisors is an integer number (139104).

Almost surely, 2^3706080 is an apocalyptic number.

3706080 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 3706080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6676992).

3706080 is an abundant number, since it is smaller than the sum of its proper divisors (9647904).

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

3706080 is a wasteful number, since it uses less digits than its factorization.

3706080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 3706080 is about 1925.1181781906. The cubic root of 3706080 is about 154.7527100840.

The spelling of 3706080 in words is "three million, seven hundred six thousand, eighty".