3509312040 has 640 divisors, whose sum is σ = 13995828000. Its totient is φ = 784982016.

The previous prime is 3509312039. The next prime is 3509312071. The reversal of 3509312040 is 402139053.

It can be written as a sum of positive squares in 16 ways, for example, as 797610564 + 2711701476 = 28242^2 + 52074^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3509311995 and 3509312013.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 121010746 + ... + 121010774.

Almost surely, 2^3509312040 is an apocalyptic number.

3509312040 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 3509312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6997914000).

3509312040 is an abundant number, since it is smaller than the sum of its proper divisors (10486515960).

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

3509312040 is a wasteful number, since it uses less digits than its factorization.

3509312040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3509312040 is about 59239.4466550794. The cubic root of 3509312040 is about 1519.6398096211.

The spelling of 3509312040 in words is "three billion, five hundred nine million, three hundred twelve thousand, forty".