387896631040 has 288 divisors, whose sum is σ = 1015805044800. Its totient is φ = 141442744320.

The previous prime is 387896631029. The next prime is 387896631193. The reversal of 387896631040 is 40136698783.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5313652444 + ... + 5313652516.

It is an arithmetic number, because the mean of its divisors is an integer number (3527100850).

Almost surely, 2^387896631040 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 387896631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507902522400).

387896631040 is an abundant number, since it is smaller than the sum of its proper divisors (627908413760).

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

387896631040 is an frugal number, since it uses more digits than its factorization.

387896631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 387896631040 in words is "three hundred eighty-seven billion, eight hundred ninety-six million, six hundred thirty-one thousand, forty".