3142384605864 has 384 divisors, whose sum is σ = 10287218592000. Its totient is φ = 870621115392.

The previous prime is 3142384605823. The next prime is 3142384605869. The reversal of 3142384605864 is 4685064832413.

3142384605864 is a `hidden beast` number, since 3 + 1 + 4 + 23 + 8 + 4 + 605 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×3142384605864² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3142384605864.

It is not an unprimeable number, because it can be changed into a prime (3142384605869) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 656164782 + ... + 656169570.

It is an arithmetic number, because the mean of its divisors is an integer number (26789631750).

Almost surely, 2^{3142384605864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142384605864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143609296000).

3142384605864 is an abundant number, since it is smaller than the sum of its proper divisors (7144833986136).

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

3142384605864 is a wasteful number, since it uses less digits than its factorization.

3142384605864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5202 (or 5155 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 3142384605864 in words is "three trillion, one hundred forty-two billion, three hundred eighty-four million, six hundred five thousand, eight hundred sixty-four".