381887628462340 has 1152 divisors, whose sum is σ = 1118102704750080. Its totient is φ = 107686526976000.

The previous prime is 381887628462311. The next prime is 381887628462371. The reversal of 381887628462340 is 43264826788183.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 381887628462340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1007619072271 + ... + 1007619072649.

It is an arithmetic number, because the mean of its divisors is an integer number (970575264540).

Almost surely, 2^{381887628462340} 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 381887628462340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559051352375040).

381887628462340 is an abundant number, since it is smaller than the sum of its proper divisors (736215076287740).

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

381887628462340 is a wasteful number, since it uses less digits than its factorization.

381887628462340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 70.

The spelling of 381887628462340 in words is "three hundred eighty-one trillion, eight hundred eighty-seven billion, six hundred twenty-eight million, four hundred sixty-two thousand, three hundred forty".