3509231378688 has 432 divisors, whose sum is σ = 12707061528000. Its totient is φ = 949865398272.

The previous prime is 3509231378657. The next prime is 3509231378701. The reversal of 3509231378688 is 8868731329053.

3509231378688 is a `hidden beast` number, since 3 + 509 + 2 + 31 + 37 + 8 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 6162408 + ... + 6707736.

Almost surely, 2^{3509231378688} is an apocalyptic number.

3509231378688 is a gapful number since it is divisible by the number (38) 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 3509231378688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6353530764000).

3509231378688 is an abundant number, since it is smaller than the sum of its proper divisors (9197830149312).

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

3509231378688 is a wasteful number, since it uses less digits than its factorization.

3509231378688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545387 (or 545360 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 3509231378688 in words is "three trillion, five hundred nine billion, two hundred thirty-one million, three hundred seventy-eight thousand, six hundred eighty-eight".