3358126022112 has 480 divisors, whose sum is σ = 10544577563520. Its totient is φ = 1045359406080.

The previous prime is 3358126022107. The next prime is 3358126022113. The reversal of 3358126022112 is 2112206218533.

3358126022112 is a `hidden beast` number, since 3 + 3 + 5 + 8 + 12 + 602 + 21 + 12 = 666.

It is a super-2 number, since 2×3358126022112² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (3358126022113) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3315030118 + ... + 3315031130.

It is an arithmetic number, because the mean of its divisors is an integer number (21967869924).

Almost surely, 2^{3358126022112} is an apocalyptic number.

3358126022112 is a gapful number since it is divisible by the number (32) 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 3358126022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272288781760).

3358126022112 is an abundant number, since it is smaller than the sum of its proper divisors (7186451541408).

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

3358126022112 is a wasteful number, since it uses less digits than its factorization.

3358126022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 3358126022112 in words is "three trillion, three hundred fifty-eight billion, one hundred twenty-six million, twenty-two thousand, one hundred twelve".