3409790440 has 128 divisors (see below), whose sum is σ = 9236736000. Its totient is φ = 1131217920.

The previous prime is 3409790431. The next prime is 3409790443. The reversal of 3409790440 is 440979043.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3409790393 and 3409790402.

It is not an unprimeable number, because it can be changed into a prime (3409790443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421312 + ... + 429328.

It is an arithmetic number, because the mean of its divisors is an integer number (72162000).

Almost surely, 2^3409790440 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 3409790440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4618368000).

3409790440 is an abundant number, since it is smaller than the sum of its proper divisors (5826945560).

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

3409790440 is a wasteful number, since it uses less digits than its factorization.

3409790440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8080 (or 8062 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 3409790440 is about 58393.4109296588. The cubic root of 3409790440 is about 1505.1365298891.

The spelling of 3409790440 in words is "three billion, four hundred nine million, seven hundred ninety thousand, four hundred forty".