3691480 has 64 divisors (see below), whose sum is σ = 9273600. Its totient is φ = 1313280.

The previous prime is 3691469. The next prime is 3691489. The reversal of 3691480 is 841963.

3691480 = T₃₀₄ + T₃₀₅ + ... + T₃₆₈.

3691480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3691489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16006 + ... + 16234.

It is an arithmetic number, because the mean of its divisors is an integer number (144900).

Almost surely, 2^3691480 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 3691480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636800).

3691480 is an abundant number, since it is smaller than the sum of its proper divisors (5582120).

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

3691480 is a wasteful number, since it uses less digits than its factorization.

3691480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 3691480 is about 1921.3224612230. The cubic root of 3691480 is about 154.5492279670.

It can be divided in two parts, 369 and 1480, that added together give a square (1849 = 43²).

The spelling of 3691480 in words is "three million, six hundred ninety-one thousand, four hundred eighty".