381975035904 has 1152 divisors, whose sum is σ = 1468497794400. Its totient is φ = 98099527680.

The previous prime is 381975035891. The next prime is 381975035917. The reversal of 381975035904 is 409530579183.

381975035904 is a `hidden beast` number, since 3 + 81 + 9 + 7 + 503 + 59 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (381975035891) and next prime (381975035917).

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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4291854292 + ... + 4291854380.

Almost surely, 2^381975035904 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 381975035904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734248897200).

381975035904 is an abundant number, since it is smaller than the sum of its proper divisors (1086522758496).

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

381975035904 is an frugal number, since it uses more digits than its factorization.

381975035904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 381975035904 in words is "three hundred eighty-one billion, nine hundred seventy-five million, thirty-five thousand, nine hundred four".