3001840416 has 216 divisors, whose sum is σ = 9251636940. Its totient is φ = 919953408.

The previous prime is 3001840403. The next prime is 3001840427. The reversal of 3001840416 is 6140481003.

3001840416 = T₃₈₃ + T₃₈₄ + ... + T₂₆₂₃.

It can be written as a sum of positive squares in 2 ways, for example, as 3000848400 + 992016 = 54780^2 + 996^2 .

It is a super-3 number, since 3×3001840416³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3001840416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33728500 + ... + 33728588.

Almost surely, 2^3001840416 is an apocalyptic number.

3001840416 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 3001840416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4625818470).

3001840416 is an abundant number, since it is smaller than the sum of its proper divisors (6249796524).

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

3001840416 is a wasteful number, since it uses less digits than its factorization.

3001840416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3001840416 is about 54789.0537972687. The cubic root of 3001840416 is about 1442.5444365944.

The spelling of 3001840416 in words is "three billion, one million, eight hundred forty thousand, four hundred sixteen".