3679540 has 48 divisors (see below), whose sum is σ = 8507520. Its totient is φ = 1330560.

The previous prime is 3679519. The next prime is 3679541. The reversal of 3679540 is 459763.

It is a super-2 number, since 2×3679540² = 27078029223200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3679496 and 3679505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3679541) 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, 8530 + ... + 8950.

It is an arithmetic number, because the mean of its divisors is an integer number (177240).

Almost surely, 2^3679540 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 3679540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253760).

3679540 is an abundant number, since it is smaller than the sum of its proper divisors (4827980).

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

3679540 is a wasteful number, since it uses less digits than its factorization.

3679540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 3679540 is about 1918.2127097900. The cubic root of 3679540 is about 154.3824194503.

The spelling of 3679540 in words is "three million, six hundred seventy-nine thousand, five hundred forty".