387281933274990 has 128 divisors (see below), whose sum is σ = 1002465592515072. Its totient is φ = 95189009610240.

The previous prime is 387281933274949. The next prime is 387281933274991. The reversal of 387281933274990 is 99472339182783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387281933274991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1575660805 + ... + 1575906575.

It is an arithmetic number, because the mean of its divisors is an integer number (7831762441524).

Almost surely, 2^{387281933274990} is an apocalyptic number.

387281933274990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 387281933274990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501232796257536).

387281933274990 is an abundant number, since it is smaller than the sum of its proper divisors (615183659240082).

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

387281933274990 is a wasteful number, since it uses less digits than its factorization.

387281933274990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251794.

The product of its (nonzero) digits is 987614208, while the sum is 75.

The spelling of 387281933274990 in words is "three hundred eighty-seven trillion, two hundred eighty-one billion, nine hundred thirty-three million, two hundred seventy-four thousand, nine hundred ninety".