355113800 has 96 divisors (see below), whose sum is σ = 877845600. Its totient is φ = 133217280.

The previous prime is 355113791. The next prime is 355113839. The reversal of 355113800 is 8311553.

355113800 = T₃₄₅ + T₃₄₆ + ... + T₁₂₉₄.

It is a super-2 number, since 2×355113800² = 252211621900880000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 355113800.

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 23 ways as a sum of consecutive naturals, for example, 428987 + ... + 429813.

It is an arithmetic number, because the mean of its divisors is an integer number (9144225).

Almost surely, 2^355113800 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 355113800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438922800).

355113800 is an abundant number, since it is smaller than the sum of its proper divisors (522731800).

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

355113800 is a wasteful number, since it uses less digits than its factorization.

355113800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 355113800 is about 18844.4633778731. The cubic root of 355113800 is about 708.1455274495.

The spelling of 355113800 in words is "three hundred fifty-five million, one hundred thirteen thousand, eight hundred".