379235429665024 has 81 divisors (see below), whose sum is σ = 763818690549369. Its totient is φ = 187922233282560.

The previous prime is 379235429664881. The next prime is 379235429665073. The reversal of 379235429665024 is 420566924532973.

The square root of 379235429665024 is 19473968.

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., 6682431801600 + 372552997863424 = 2585040^2 + 19301632^2 .

It is a super-2 number, since 2×379235429665024² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35208928759 + ... + 35208939529.

Almost surely, 2^{379235429665024} is an apocalyptic number.

379235429665024 is the 19473968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379235429665024

379235429665024 is an abundant number, since it is smaller than the sum of its proper divisors (384583260884345).

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

379235429665024 is an frugal number, since it uses more digits than its factorization.

379235429665024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21784 (or 10886 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 67.

The spelling of 379235429665024 in words is "three hundred seventy-nine trillion, two hundred thirty-five billion, four hundred twenty-nine million, six hundred sixty-five thousand, twenty-four".