3792680 has 32 divisors (see below), whose sum is σ = 8699400. Its totient is φ = 1487616.

The previous prime is 3792673. The next prime is 3792709. The reversal of 3792680 is 862973.

It can be written as a sum of positive squares in 4 ways, for example, as 3771364 + 21316 = 1942^2 + 146^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3792680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1226 + ... + 3014.

Almost surely, 2^3792680 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 3792680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349700).

3792680 is an abundant number, since it is smaller than the sum of its proper divisors (4906720).

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

3792680 is a wasteful number, since it uses less digits than its factorization.

3792680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 3792680 is about 1947.4804235216. The cubic root of 3792680 is about 155.9488107305.

The spelling of 3792680 in words is "three million, seven hundred ninety-two thousand, six hundred eighty".