3005219888 has 60 divisors (see below), whose sum is σ = 6620878320. Its totient is φ = 1318880640.

The previous prime is 3005219879. The next prime is 3005219933. The reversal of 3005219888 is 8889125003.

It is a super-4 number, since 4×3005219888⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29381 + ... + 82907.

It is an arithmetic number, because the mean of its divisors is an integer number (110347972).

Almost surely, 2^3005219888 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 3005219888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310439160).

3005219888 is an abundant number, since it is smaller than the sum of its proper divisors (3615658432).

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

3005219888 is a wasteful number, since it uses less digits than its factorization.

3005219888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53586 (or 53569 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 44.

The square root of 3005219888 is about 54819.8858809465. The cubic root of 3005219888 is about 1443.0855724267.

The spelling of 3005219888 in words is "three billion, five million, two hundred nineteen thousand, eight hundred eighty-eight".