3378434112 has 168 divisors, whose sum is σ = 10264002840. Its totient is φ = 1060577280.

The previous prime is 3378434107. The next prime is 3378434113. The reversal of 3378434112 is 2114348733.

It can be written as a sum of positive squares in 4 ways, for example, as 2359296 + 3376074816 = 1536^2 + 58104^2 .

It is a super-2 number, since 2×3378434112² = 22827634098250457088, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3378434113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 682398 + ... + 687330.

It is an arithmetic number, because the mean of its divisors is an integer number (61095255).

Almost surely, 2^3378434112 is an apocalyptic number.

3378434112 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 3378434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5132001420).

3378434112 is an abundant number, since it is smaller than the sum of its proper divisors (6885568728).

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

3378434112 is a wasteful number, since it uses less digits than its factorization.

3378434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5021 (or 5008 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3378434112 is about 58124.2988086738. The cubic root of 3378434112 is about 1500.5085848748.

It can be divided in two parts, 33784 and 34112, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 3378434112 in words is "three billion, three hundred seventy-eight million, four hundred thirty-four thousand, one hundred twelve".