3370122017136 has 400 divisors, whose sum is σ = 11556765462528. Its totient is φ = 927813657600.

The previous prime is 3370122017069. The next prime is 3370122017153. The reversal of 3370122017136 is 6317102210733.

3370122017136 is a `hidden beast` number, since 3 + 370 + 12 + 201 + 71 + 3 + 6 = 666.

3370122017136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3370122017136² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3370122017136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 65501341 + ... + 65552771.

Almost surely, 2^{3370122017136} is an apocalyptic number.

3370122017136 is a gapful number since it is divisible by the number (36) 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 3370122017136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778382731264).

3370122017136 is an abundant number, since it is smaller than the sum of its proper divisors (8186643445392).

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

3370122017136 is a wasteful number, since it uses less digits than its factorization.

3370122017136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51722 (or 51707 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

Adding to 3370122017136 its reverse (6317102210733), we get a palindrome (9687224227869).

The spelling of 3370122017136 in words is "three trillion, three hundred seventy billion, one hundred twenty-two million, seventeen thousand, one hundred thirty-six".