3316077120 has 224 divisors, whose sum is σ = 11334024576. Its totient is φ = 818380800.

The previous prime is 3316077101. The next prime is 3316077131. The reversal of 3316077120 is 217706133.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 993855 + ... + 997185.

It is an arithmetic number, because the mean of its divisors is an integer number (50598324).

Almost surely, 2^3316077120 is an apocalyptic number.

3316077120 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 3316077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5667012288).

3316077120 is an abundant number, since it is smaller than the sum of its proper divisors (8017947456).

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

3316077120 is a wasteful number, since it uses less digits than its factorization.

3316077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429 (or 3419 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 3316077120 is about 57585.3898137366. The cubic root of 3316077120 is about 1491.2193852742.

The spelling of 3316077120 in words is "three billion, three hundred sixteen million, seventy-seven thousand, one hundred twenty".