387348061192092 has 3840 divisors, whose sum is σ = 1488351500697600. Its totient is φ = 86416243200000.

The previous prime is 387348061192069. The next prime is 387348061192097. The reversal of 387348061192092 is 290291160843783.

387348061192092 is a `hidden beast` number, since 3 + 8 + 7 + 3 + 4 + 8 + 0 + 611 + 9 + 2 + 0 + 9 + 2 = 666.

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 (387348061192097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 2565218948217 + ... + 2565218948367.

It is an arithmetic number, because the mean of its divisors is an integer number (387591536640).

Almost surely, 2^{387348061192092} 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 387348061192092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744175750348800).

387348061192092 is an abundant number, since it is smaller than the sum of its proper divisors (1101003439505508).

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

387348061192092 is a wasteful number, since it uses less digits than its factorization.

387348061192092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 387348061192092 in words is "three hundred eighty-seven trillion, three hundred forty-eight billion, sixty-one million, one hundred ninety-two thousand, ninety-two".