379762830001 has 27 divisors (see below), whose sum is σ = 398318970987. Its totient is φ = 362058612480.

The previous prime is 379762829951. The next prime is 379762830061. The reversal of 379762830001 is 100038267973.

It is a happy number.

The square root of 379762830001 is 616249.

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

It can be written as a sum of positive squares in only one way, i.e., 92012122225 + 287750707776 = 303335^2 + 536424^2 .

It is not a de Polignac number, because 379762830001 - 2¹⁵ = 379762797233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (379762830061) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1967682961 + ... + 1967683153.

It is an arithmetic number, because the mean of its divisors is an integer number (14752554481).

Almost surely, 2^379762830001 is an apocalyptic number.

379762830001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

379762830001 is the 616249-th square number.

379762830001 is the 308125-th centered octagonal number.

It is an amenable number.

379762830001 is a deficient number, since it is larger than the sum of its proper divisors (18556140986).

379762830001 is an frugal number, since it uses more digits than its factorization.

379762830001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The spelling of 379762830001 in words is "three hundred seventy-nine billion, seven hundred sixty-two million, eight hundred thirty thousand, one".