355801608 has 96 divisors (see below), whose sum is σ = 1010449440. Its totient is φ = 112976640.

The previous prime is 355801603. The next prime is 355801637. The reversal of 355801608 is 806108553.

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 (355801603) 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 23 ways as a sum of consecutive naturals, for example, 125535 + ... + 128337.

It is an arithmetic number, because the mean of its divisors is an integer number (10525515).

Almost surely, 2^355801608 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 355801608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505224720).

355801608 is an abundant number, since it is smaller than the sum of its proper divisors (654647832).

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

355801608 is a wasteful number, since it uses less digits than its factorization.

355801608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 355801608 is about 18862.7041539648. The cubic root of 355801608 is about 708.6024270264.

It can be divided in two parts, 355801 and 608, that added together give a square (356409 = 597²).

The spelling of 355801608 in words is "three hundred fifty-five million, eight hundred one thousand, six hundred eight".