3385959659520 has 192 divisors, whose sum is σ = 10834514964000. Its totient is φ = 902748438528.

The previous prime is 3385959659479. The next prime is 3385959659587. The reversal of 3385959659520 is 259569595833.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3385959659520² (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 15 ways as a sum of consecutive naturals, for example, 275521536 + ... + 275533824.

Almost surely, 2^{3385959659520} is an apocalyptic number.

3385959659520 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 3385959659520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5417257482000).

3385959659520 is an abundant number, since it is smaller than the sum of its proper divisors (7448555304480).

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

3385959659520 is a wasteful number, since it uses less digits than its factorization.

3385959659520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21288 (or 21268 counting only the distinct ones).

The product of its (nonzero) digits is 393660000, while the sum is 69.

The spelling of 3385959659520 in words is "three trillion, three hundred eighty-five billion, nine hundred fifty-nine million, six hundred fifty-nine thousand, five hundred twenty".