3509430811440 has 80 divisors (see below), whose sum is σ = 11063629382400. Its totient is φ = 919986378496.

The previous prime is 3509430811427. The next prime is 3509430811457. The reversal of 3509430811440 is 441180349053.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3509430811440² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3509430811392 and 3509430811401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123906420 + ... + 123934739.

It is an arithmetic number, because the mean of its divisors is an integer number (138295367280).

Almost surely, 2^{3509430811440} is an apocalyptic number.

3509430811440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3509430811440 is an abundant number, since it is smaller than the sum of its proper divisors (7554198570960).

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

3509430811440 is a wasteful number, since it uses less digits than its factorization.

3509430811440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247841234 (or 247841228 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 3509430811440 in words is "three trillion, five hundred nine billion, four hundred thirty million, eight hundred eleven thousand, four hundred forty".