3145047750720 has 672 divisors, whose sum is σ = 11349033171840. Its totient is φ = 798584832000.

The previous prime is 3145047750653. The next prime is 3145047750749. The reversal of 3145047750720 is 270577405413.

3145047750720 is a `hidden beast` number, since 3 + 1 + 4 + 50 + 4 + 77 + 507 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 1578046044 + ... + 1578048036.

It is an arithmetic number, because the mean of its divisors is an integer number (16888442220).

Almost surely, 2^{3145047750720} is an apocalyptic number.

3145047750720 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 3145047750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5674516585920).

3145047750720 is an abundant number, since it is smaller than the sum of its proper divisors (8203985421120).

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

3145047750720 is a wasteful number, since it uses less digits than its factorization.

3145047750720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 3145047750720 in words is "three trillion, one hundred forty-five billion, forty-seven million, seven hundred fifty thousand, seven hundred twenty".