3692080 has 80 divisors (see below), whose sum is σ = 10356480. Its totient is φ = 1195776.

The previous prime is 3692063. The next prime is 3692081. The reversal of 3692080 is 802963.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (3692081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10467 + ... + 10813.

It is an arithmetic number, because the mean of its divisors is an integer number (129456).

Almost surely, 2^3692080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3692080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5178240).

3692080 is an abundant number, since it is smaller than the sum of its proper divisors (6664400).

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

3692080 is a wasteful number, since it uses less digits than its factorization.

3692080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 3692080 is about 1921.4785973307. The cubic root of 3692080 is about 154.5576008069.

The spelling of 3692080 in words is "three million, six hundred ninety-two thousand, eighty".