359742000 has 80 divisors (see below), whose sum is σ = 1159827552. Its totient is φ = 95929600.

The previous prime is 359741989. The next prime is 359742001. The reversal of 359742000 is 247953.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (359742001) 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 15 ways as a sum of consecutive naturals, for example, 23979 + ... + 35978.

Almost surely, 2^359742000 is an apocalyptic number.

359742000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

359742000 is an abundant number, since it is smaller than the sum of its proper divisors (800085552).

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

359742000 is a wasteful number, since it uses less digits than its factorization.

359742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59983 (or 59967 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 359742000 is about 18966.8658454685. The cubic root of 359742000 is about 711.2086798271.

Adding to 359742000 its reverse (247953), we get a palindrome (359989953).

The spelling of 359742000 in words is "three hundred fifty-nine million, seven hundred forty-two thousand".