355642272 has 96 divisors (see below), whose sum is σ = 1040558400. Its totient is φ = 118174464.

The previous prime is 355642271. The next prime is 355642319. The reversal of 355642272 is 272246553.

355642272 is a `hidden beast` number, since 3 + 5 + 5 + 642 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (355642271) 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, 480879 + ... + 481617.

It is an arithmetic number, because the mean of its divisors is an integer number (10839150).

Almost surely, 2^355642272 is an apocalyptic number.

355642272 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 355642272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520279200).

355642272 is an abundant number, since it is smaller than the sum of its proper divisors (684916128).

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

355642272 is a wasteful number, since it uses less digits than its factorization.

355642272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1301 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 355642272 is about 18858.4801084287. The cubic root of 355642272 is about 708.4966351732.

The spelling of 355642272 in words is "three hundred fifty-five million, six hundred forty-two thousand, two hundred seventy-two".