354790800 has 720 divisors, whose sum is σ = 1640311680. Its totient is φ = 70917120.

The previous prime is 354790771. The next prime is 354790811. The reversal of 354790800 is 8097453.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a zygodrome in base 6.

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 143 ways as a sum of consecutive naturals, for example, 18673191 + ... + 18673209.

Almost surely, 2^354790800 is an apocalyptic number.

354790800 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 354790800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820155840).

354790800 is an abundant number, since it is smaller than the sum of its proper divisors (1285520880).

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

354790800 is a wasteful number, since it uses less digits than its factorization.

354790800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 354790800 is about 18835.8912717185. The cubic root of 354790800 is about 707.9307602498.

The spelling of 354790800 in words is "three hundred fifty-four million, seven hundred ninety thousand, eight hundred".