3019404960 has 864 divisors, whose sum is σ = 12883014144. Its totient is φ = 638668800.

The previous prime is 3019404953. The next prime is 3019404979. The reversal of 3019404960 is 694049103.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 70218699 + ... + 70218741.

It is an arithmetic number, because the mean of its divisors is an integer number (14910896).

Almost surely, 2^3019404960 is an apocalyptic number.

3019404960 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 3019404960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6441507072).

3019404960 is an abundant number, since it is smaller than the sum of its proper divisors (9863609184).

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

3019404960 is a wasteful number, since it uses less digits than its factorization.

3019404960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3019404960 is about 54949.1124587104. The cubic root of 3019404960 is about 1445.3525334871.

The spelling of 3019404960 in words is "three billion, nineteen million, four hundred four thousand, nine hundred sixty".