381027191076 has 567 divisors, whose sum is σ = 1233087745323. Its totient is φ = 102665011680.

The previous prime is 381027191059. The next prime is 381027191117. The reversal of 381027191076 is 670191720183.

The square root of 381027191076 is 617274.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (567).

It is a super-2 number, since 2×381027191076² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 5366580121 + ... + 5366580191.

Almost surely, 2^381027191076 is an apocalyptic number.

381027191076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

381027191076 is the 617274-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381027191076

381027191076 is an abundant number, since it is smaller than the sum of its proper divisors (852060554247).

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

381027191076 is an equidigital number, since it uses as much as digits as its factorization.

381027191076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 381027191076 in words is "three hundred eighty-one billion, twenty-seven million, one hundred ninety-one thousand, seventy-six".