3488940 has 192 divisors, whose sum is σ = 13547520. Its totient is φ = 725760.

The previous prime is 3488929. The next prime is 3488959. The reversal of 3488940 is 498843.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3488895 and 3488904.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49105 + ... + 49175.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

Almost surely, 2^3488940 is an apocalyptic number.

3488940 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 3488940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773760).

3488940 is an abundant number, since it is smaller than the sum of its proper divisors (10058580).

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

3488940 is a wasteful number, since it uses less digits than its factorization.

3488940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3488940 is about 1867.8704451862. The cubic root of 3488940 is about 151.6693528218.

The spelling of 3488940 in words is "three million, four hundred eighty-eight thousand, nine hundred forty".