379753641 has 12 divisors (see below), whose sum is σ = 552028932. Its totient is φ = 251555616.

The previous prime is 379753631. The next prime is 379753643. The reversal of 379753641 is 146357973.

379753641 is a `hidden beast` number, since 3 + 79 + 7 + 536 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34574400 + 345179241 = 5880^2 + 18579^2 .

It is not a de Polignac number, because 379753641 - 2¹⁷ = 379622569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (379753643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132966 + ... + 135791.

It is an arithmetic number, because the mean of its divisors is an integer number (46002411).

Almost surely, 2^379753641 is an apocalyptic number.

It is an amenable number.

379753641 is a deficient number, since it is larger than the sum of its proper divisors (172275291).

379753641 is a wasteful number, since it uses less digits than its factorization.

379753641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268920 (or 268917 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 379753641 is about 19487.2686900961. The cubic root of 379753641 is about 724.1590827181.

It can be divided in two parts, 37975 and 3641, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 379753641 in words is "three hundred seventy-nine million, seven hundred fifty-three thousand, six hundred forty-one".