3389674176 has 560 divisors, whose sum is σ = 12521590400. Its totient is φ = 896168448.

The previous prime is 3389674163. The next prime is 3389674181. The reversal of 3389674176 is 6714769833.

It is a super-2 number, since 2×3389674176² = 22979782038882557952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78829611 + ... + 78829653.

Almost surely, 2^3389674176 is an apocalyptic number.

3389674176 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 3389674176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6260795200).

3389674176 is an abundant number, since it is smaller than the sum of its proper divisors (9131916224).

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

3389674176 is an equidigital number, since it uses as much as digits as its factorization.

3389674176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 74 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 3389674176 is about 58220.9084092648. The cubic root of 3389674176 is about 1502.1708088770.

The spelling of 3389674176 in words is "three billion, three hundred eighty-nine million, six hundred seventy-four thousand, one hundred seventy-six".