382952115031680 has 1536 divisors, whose sum is σ = 1475172547430400. Its totient is φ = 94717323509760.

The previous prime is 382952115031643. The next prime is 382952115031721. The reversal of 382952115031680 is 86130511259283.

382952115031680 is a `hidden beast` number, since 3 + 8 + 2 + 9 + 52 + 1 + 1 + 503 + 1 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19154299764 + ... + 19154319756.

It is an arithmetic number, because the mean of its divisors is an integer number (960398793900).

Almost surely, 2^{382952115031680} is an apocalyptic number.

382952115031680 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 382952115031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737586273715200).

382952115031680 is an abundant number, since it is smaller than the sum of its proper divisors (1092220432398720).

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

382952115031680 is a wasteful number, since it uses less digits than its factorization.

382952115031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20224 (or 20200 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 382952115031680 in words is "three hundred eighty-two trillion, nine hundred fifty-two billion, one hundred fifteen million, thirty-one thousand, six hundred eighty".