3485176730112 has 480 divisors, whose sum is σ = 11837838329856. Its totient is φ = 891707351040.

The previous prime is 3485176730107. The next prime is 3485176730137. The reversal of 3485176730112 is 2110376715843.

It is a super-2 number, since 2×3485176730112² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 87146473 + ... + 87186455.

Almost surely, 2^{3485176730112} is an apocalyptic number.

3485176730112 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 3485176730112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5918919164928).

3485176730112 is an abundant number, since it is smaller than the sum of its proper divisors (8352661599744).

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

3485176730112 is a wasteful number, since it uses less digits than its factorization.

3485176730112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40100 (or 40073 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 3485176730112 in words is "three trillion, four hundred eighty-five billion, one hundred seventy-six million, seven hundred thirty thousand, one hundred twelve".