3509231040 has 588 divisors, whose sum is σ = 14621795496. Its totient is φ = 799497216.

The previous prime is 3509231039. The next prime is 3509231051. The reversal of 3509231040 is 401329053.

It is a tau number, because it is divible by the number of its divisors (588).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 = 3509230995 and 3509231013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 11430567 + ... + 11430873.

Almost surely, 2^3509231040 is an apocalyptic number.

3509231040 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 3509231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7310897748).

3509231040 is an abundant number, since it is smaller than the sum of its proper divisors (11112564456).

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

3509231040 is an equidigital number, since it uses as much as digits as its factorization.

3509231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 324 counting only the distinct ones).

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

The square root of 3509231040 is about 59238.7629850590. The cubic root of 3509231040 is about 1519.6281177025.

The spelling of 3509231040 in words is "three billion, five hundred nine million, two hundred thirty-one thousand, forty".