3005101616 has 80 divisors (see below), whose sum is σ = 6659573760. Its totient is φ = 1300316160.

The previous prime is 3005101609. The next prime is 3005101663. The reversal of 3005101616 is 6161015003.

It is a happy number.

It is a super-2 number, since 2×3005101616² = 18061271444971622912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 3005101591 and 3005101600.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 901040 + ... + 904368.

It is an arithmetic number, because the mean of its divisors is an integer number (83244672).

Almost surely, 2^3005101616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3005101616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329786880).

3005101616 is an abundant number, since it is smaller than the sum of its proper divisors (3654472144).

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

3005101616 is a wasteful number, since it uses less digits than its factorization.

3005101616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 3005101616 is about 54818.8071376968. The cubic root of 3005101616 is about 1443.0666410493.

Adding to 3005101616 its reverse (6161015003), we get a palindrome (9166116619).

The spelling of 3005101616 in words is "three billion, five million, one hundred one thousand, six hundred sixteen".