3634080 has 96 divisors (see below), whose sum is σ = 11721024. Its totient is φ = 946176.

The previous prime is 3634061. The next prime is 3634097. The reversal of 3634080 is 804363.

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 an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3634080.

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, 32104 + ... + 32216.

It is an arithmetic number, because the mean of its divisors is an integer number (122094).

Almost surely, 2^3634080 is an apocalyptic number.

3634080 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 3634080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5860512).

3634080 is an abundant number, since it is smaller than the sum of its proper divisors (8086944).

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

3634080 is a wasteful number, since it uses less digits than its factorization.

3634080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3634080 is about 1906.3263099480. The cubic root of 3634080 is about 153.7439947420.

The spelling of 3634080 in words is "three million, six hundred thirty-four thousand, eighty".