3815680 has 72 divisors (see below), whose sum is σ = 10007424. Its totient is φ = 1382400.

The previous prime is 3815653. The next prime is 3815681. The reversal of 3815680 is 865183.

It is not an unprimeable number, because it can be changed into a prime (3815681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13945 + ... + 14215.

It is an arithmetic number, because the mean of its divisors is an integer number (138992).

Almost surely, 2^3815680 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 3815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5003712).

3815680 is an abundant number, since it is smaller than the sum of its proper divisors (6191744).

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

3815680 is a wasteful number, since it uses less digits than its factorization.

3815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 3815680 is about 1953.3765637992. The cubic root of 3815680 is about 156.2634164480.

The spelling of 3815680 in words is "three million, eight hundred fifteen thousand, six hundred eighty".