3410909040 has 320 divisors, whose sum is σ = 13244866560. Its totient is φ = 705438720.

The previous prime is 3410909017. The next prime is 3410909057. The reversal of 3410909040 is 409090143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3410908989 and 3410909007.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7003677 + ... + 7004163.

It is an arithmetic number, because the mean of its divisors is an integer number (41390208).

Almost surely, 2^3410909040 is an apocalyptic number.

3410909040 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 3410909040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6622433280).

3410909040 is an abundant number, since it is smaller than the sum of its proper divisors (9833957520).

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

3410909040 is a wasteful number, since it uses less digits than its factorization.

3410909040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 3410909040 is about 58402.9882797105. The cubic root of 3410909040 is about 1505.3011012585.

Adding to 3410909040 its reverse (409090143), we get a palindrome (3819999183).

The spelling of 3410909040 in words is "three billion, four hundred ten million, nine hundred nine thousand, forty".