355742912 has 56 divisors (see below), whose sum is σ = 809548800. Its totient is φ = 151937280.

The previous prime is 355742857. The next prime is 355742917. The reversal of 355742912 is 219247553.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (355742917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147089 + ... + 149487.

Almost surely, 2^355742912 is an apocalyptic number.

355742912 is a gapful number since it is divisible by the number (32) 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 355742912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404774400).

355742912 is an abundant number, since it is smaller than the sum of its proper divisors (453805888).

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

355742912 is a wasteful number, since it uses less digits than its factorization.

355742912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2739 counting only the distinct ones).

The product of its digits is 75600, while the sum is 38.

The square root of 355742912 is about 18861.1482153129. The cubic root of 355742912 is about 708.5634592285.

The spelling of 355742912 in words is "three hundred fifty-five million, seven hundred forty-two thousand, nine hundred twelve".