3509075289678 has 192 divisors, whose sum is σ = 8438535272448. Its totient is φ = 969243770880.

The previous prime is 3509075289661. The next prime is 3509075289701. The reversal of 3509075289678 is 8769825709053.

It is a happy number.

It is a super-2 number, since 2×3509075289678² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1294382743 + ... + 1294385453.

It is an arithmetic number, because the mean of its divisors is an integer number (43950704544).

Almost surely, 2^{3509075289678} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3509075289678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219267636224).

3509075289678 is an abundant number, since it is smaller than the sum of its proper divisors (4929459982770).

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

3509075289678 is a wasteful number, since it uses less digits than its factorization.

3509075289678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3487 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 69.

The spelling of 3509075289678 in words is "three trillion, five hundred nine billion, seventy-five million, two hundred eighty-nine thousand, six hundred seventy-eight".