3538680 has 64 divisors (see below), whose sum is σ = 10916640. Its totient is φ = 916992.

The previous prime is 3538673. The next prime is 3538687. The reversal of 3538680 is 868353.

It is an interprime number because it is at equal distance from previous prime (3538673) and next prime (3538687).

It is a super-2 number, since 2×3538680² = 25044512284800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3538687) 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, 4042 + ... + 4838.

Almost surely, 2^3538680 is an apocalyptic number.

3538680 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 3538680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5458320).

3538680 is an abundant number, since it is smaller than the sum of its proper divisors (7377960).

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

3538680 is a wasteful number, since it uses less digits than its factorization.

3538680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 3538680 is about 1881.1379534739. The cubic root of 3538680 is about 152.3867115259.

The spelling of 3538680 in words is "three million, five hundred thirty-eight thousand, six hundred eighty".