354873600 has 324 divisors, whose sum is σ = 1302320292. Its totient is φ = 92160000.

The previous prime is 354873599. The next prime is 354873619. The reversal of 354873600 is 6378453.

It is a happy number.

354873600 is a `hidden beast` number, since 3 + 5 + 48 + 7 + 3 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8020224 + 346853376 = 2832^2 + 18624^2 .

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3513550 + ... + 3513650.

Almost surely, 2^354873600 is an apocalyptic number.

354873600 is a gapful number since it is divisible by the number (30) 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 354873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651160146).

354873600 is an abundant number, since it is smaller than the sum of its proper divisors (947446692).

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

354873600 is a wasteful number, since it uses less digits than its factorization.

354873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 354873600 is about 18838.0890750628. The cubic root of 354873600 is about 707.9858275436.

The spelling of 354873600 in words is "three hundred fifty-four million, eight hundred seventy-three thousand, six hundred".