3058267968 has 336 divisors, whose sum is σ = 11014862400. Its totient is φ = 827366400.

The previous prime is 3058267963. The next prime is 3058267969. The reversal of 3058267968 is 8697628503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3058267963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1607818 + ... + 1609718.

Almost surely, 2^3058267968 is an apocalyptic number.

3058267968 is a gapful number since it is divisible by the number (38) 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 3058267968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5507431200).

3058267968 is an abundant number, since it is smaller than the sum of its proper divisors (7956594432).

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

3058267968 is a wasteful number, since it uses less digits than its factorization.

3058267968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 3058267968 is about 55301.6090905138. The cubic root of 3058267968 is about 1451.5272007530.

The spelling of 3058267968 in words is "three billion, fifty-eight million, two hundred sixty-seven thousand, nine hundred sixty-eight".