356142384 has 360 divisors, whose sum is σ = 1238170752. Its totient is φ = 94556160.

The previous prime is 356142361. The next prime is 356142443. The reversal of 356142384 is 483241653.

356142384 is a `hidden beast` number, since 3 + 5 + 614 + 2 + 38 + 4 = 666.

356142384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 11488449 + ... + 11488479.

Almost surely, 2^356142384 is an apocalyptic number.

356142384 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 356142384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619085376).

356142384 is an abundant number, since it is smaller than the sum of its proper divisors (882028368).

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

356142384 is a wasteful number, since it uses less digits than its factorization.

356142384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 85 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 356142384 is about 18871.7350553679. The cubic root of 356142384 is about 708.8285808191.

The spelling of 356142384 in words is "three hundred fifty-six million, one hundred forty-two thousand, three hundred eighty-four".