381017952000 has 1152 divisors, whose sum is σ = 1630951096320. Its totient is φ = 85797273600.

The previous prime is 381017951983. The next prime is 381017952013. The reversal of 381017952000 is 259710183.

381017952000 is a `hidden beast` number, since 381 + 0 + 1 + 79 + 5 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 441503569 + ... + 441504431.

It is an arithmetic number, because the mean of its divisors is an integer number (1415756160).

Almost surely, 2^381017952000 is an apocalyptic number.

381017952000 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 381017952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815475548160).

381017952000 is an abundant number, since it is smaller than the sum of its proper divisors (1249933144320).

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

381017952000 is an equidigital number, since it uses as much as digits as its factorization.

381017952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 381017952000 in words is "three hundred eighty-one billion, seventeen million, nine hundred fifty-two thousand".