357742368 has 144 divisors (see below), whose sum is σ = 1082652480. Its totient is φ = 111800832.

The previous prime is 357742351. The next prime is 357742379. The reversal of 357742368 is 863247753.

357742368 is a `hidden beast` number, since 3 + 577 + 42 + 36 + 8 = 666.

357742368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 350563 + ... + 351581.

It is an arithmetic number, because the mean of its divisors is an integer number (7518420).

Almost surely, 2^357742368 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 357742368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541326240).

357742368 is an abundant number, since it is smaller than the sum of its proper divisors (724910112).

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

357742368 is a wasteful number, since it uses less digits than its factorization.

357742368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1100 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 357742368 is about 18914.0785659783. The cubic root of 357742368 is about 709.8884755069. Note that the first 3 decimals are identical.

The spelling of 357742368 in words is "three hundred fifty-seven million, seven hundred forty-two thousand, three hundred sixty-eight".