3086519904 has 288 divisors, whose sum is σ = 10324903680. Its totient is φ = 899154432.

The previous prime is 3086519899. The next prime is 3086519971. The reversal of 3086519904 is 4099156803.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 3086519904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1919869 + ... + 1921475.

It is an arithmetic number, because the mean of its divisors is an integer number (35850360).

Almost surely, 2^3086519904 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 3086519904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5162451840).

3086519904 is an abundant number, since it is smaller than the sum of its proper divisors (7238383776).

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

3086519904 is a wasteful number, since it uses less digits than its factorization.

3086519904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 3086519904 is about 55556.4569064659. The cubic root of 3086519904 is about 1455.9831892355.

The spelling of 3086519904 in words is "three billion, eighty-six million, five hundred nineteen thousand, nine hundred four".