3509940 has 96 divisors (see below), whose sum is σ = 11499264. Its totient is φ = 783360.

The previous prime is 3509917. The next prime is 3509941. The reversal of 3509940 is 499053.

3509940 is digitally balanced in base 8, 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 (30).

3509940 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 3509898 and 3509907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3509941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25552 + ... + 25688.

It is an arithmetic number, because the mean of its divisors is an integer number (119784).

Almost surely, 2^3509940 is an apocalyptic number.

3509940 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 3509940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5749632).

3509940 is an abundant number, since it is smaller than the sum of its proper divisors (7989324).

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

3509940 is a wasteful number, since it uses less digits than its factorization.

3509940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 3509940 is about 1873.4833866357. The cubic root of 3509940 is about 151.9730446199.

The spelling of 3509940 in words is "three million, five hundred nine thousand, nine hundred forty".