3377079216 has 400 divisors, whose sum is σ = 11667110400. Its totient is φ = 942399360.

The previous prime is 3377079193. The next prime is 3377079217. The reversal of 3377079216 is 6129707733.

It is a super-2 number, since 2×3377079216² = 22809328062278349312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3377079217) 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 79 ways as a sum of consecutive naturals, for example, 31561435 + ... + 31561541.

It is an arithmetic number, because the mean of its divisors is an integer number (29167776).

Almost surely, 2^3377079216 is an apocalyptic number.

3377079216 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 3377079216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5833555200).

3377079216 is an abundant number, since it is smaller than the sum of its proper divisors (8290031184).

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

3377079216 is a wasteful number, since it uses less digits than its factorization.

3377079216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The square root of 3377079216 is about 58112.6424799286. The cubic root of 3377079216 is about 1500.3079687658.

The spelling of 3377079216 in words is "three billion, three hundred seventy-seven million, seventy-nine thousand, two hundred sixteen".