3148704000 has 648 divisors, whose sum is σ = 12636739752. Its totient is φ = 748339200.

The previous prime is 3148703989. The next prime is 3148704043. The reversal of 3148704000 is 4078413.

It can be written as a sum of positive squares in 12 ways, for example, as 2667515904 + 481188096 = 51648^2 + 21936^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 108575986 + ... + 108576014.

Almost surely, 2^3148704000 is an apocalyptic number.

3148704000 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 3148704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6318369876).

3148704000 is an abundant number, since it is smaller than the sum of its proper divisors (9488035752).

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

3148704000 is a wasteful number, since it uses less digits than its factorization.

3148704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 3148704000 is about 56113.3139281579. The cubic root of 3148704000 is about 1465.6961439696.

The spelling of 3148704000 in words is "three billion, one hundred forty-eight million, seven hundred four thousand".