3914381972592 has 640 divisors, whose sum is σ = 14167057694720. Its totient is φ = 1007366492160.

The previous prime is 3914381972573. The next prime is 3914381972593. The reversal of 3914381972592 is 2952791834193.

3914381972592 is a `hidden beast` number, since 3 + 9 + 1 + 4 + 38 + 1 + 9 + 7 + 2 + 592 = 666.

3914381972592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3914381972593) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 304543638 + ... + 304556490.

It is an arithmetic number, because the mean of its divisors is an integer number (22136027648).

Almost surely, 2^{3914381972592} 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 3914381972592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7083528847360).

3914381972592 is an abundant number, since it is smaller than the sum of its proper divisors (10252675722128).

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

3914381972592 is a wasteful number, since it uses less digits than its factorization.

3914381972592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13078 (or 13066 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 3914381972592 in words is "three trillion, nine hundred fourteen billion, three hundred eighty-one million, nine hundred seventy-two thousand, five hundred ninety-two".