3386710080 has 504 divisors, whose sum is σ = 13368860232. Its totient is φ = 782106624.

The previous prime is 3386710027. The next prime is 3386710091. The reversal of 3386710080 is 800176833.

It can be written as a sum of positive squares in 12 ways, for example, as 1459851264 + 1926858816 = 38208^2 + 43896^2 .

It is a super-2 number, since 2×3386710080² = 22939610331947212800, which contains 22 as substring.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 10820004 + ... + 10820316.

Almost surely, 2^3386710080 is an apocalyptic number.

3386710080 is a gapful number since it is divisible by the number (30) 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 3386710080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6684430116).

3386710080 is an abundant number, since it is smaller than the sum of its proper divisors (9982150152).

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

3386710080 is a wasteful number, since it uses less digits than its factorization.

3386710080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3386710080 is about 58195.4472446084. The cubic root of 3386710080 is about 1501.7328241096.

The spelling of 3386710080 in words is "three billion, three hundred eighty-six million, seven hundred ten thousand, eighty".