387920332800 has 2592 divisors, whose sum is σ = 1931863227840. Its totient is φ = 71840563200.

The previous prime is 387920332783. The next prime is 387920332843. The reversal of 387920332800 is 8233029783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 13376563186 + ... + 13376563214.

Almost surely, 2^387920332800 is an apocalyptic number.

387920332800 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 387920332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965931613920).

387920332800 is an abundant number, since it is smaller than the sum of its proper divisors (1543942895040).

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

387920332800 is a wasteful number, since it uses less digits than its factorization.

387920332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 387920332800 in words is "three hundred eighty-seven billion, nine hundred twenty million, three hundred thirty-two thousand, eight hundred".