3123207360 has 672 divisors, whose sum is σ = 14019288192. Its totient is φ = 619315200.

The previous prime is 3123207341. The next prime is 3123207379. The reversal of 3123207360 is 637023213.

It is an interprime number because it is at equal distance from previous prime (3123207341) and next prime (3123207379).

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4455010 + ... + 4455710.

It is an arithmetic number, because the mean of its divisors is an integer number (20862036).

Almost surely, 2^3123207360 is an apocalyptic number.

3123207360 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 3123207360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7009644096).

3123207360 is an abundant number, since it is smaller than the sum of its proper divisors (10896080832).

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

3123207360 is a wasteful number, since it uses less digits than its factorization.

3123207360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 3123207360 is about 55885.6632778032. The cubic root of 3123207360 is about 1461.7292577053.

The spelling of 3123207360 in words is "three billion, one hundred twenty-three million, two hundred seven thousand, three hundred sixty".