387632226083520 has 448 divisors, whose sum is σ = 1347768834048000. Its totient is φ = 93611482890240.

The previous prime is 387632226083477. The next prime is 387632226083533. The reversal of 387632226083520 is 25380622236783.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3273889281 + ... + 3274007679.

It is an arithmetic number, because the mean of its divisors is an integer number (3008412576000).

Almost surely, 2^{387632226083520} is an apocalyptic number.

387632226083520 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 387632226083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673884417024000).

387632226083520 is an abundant number, since it is smaller than the sum of its proper divisors (960136607964480).

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

387632226083520 is a wasteful number, since it uses less digits than its factorization.

387632226083520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119616 (or 119606 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 387632226083520 in words is "three hundred eighty-seven trillion, six hundred thirty-two billion, two hundred twenty-six million, eighty-three thousand, five hundred twenty".