354823420800 has 384 divisors, whose sum is σ = 1210978206720. Its totient is φ = 91219968000.

The previous prime is 354823420789. The next prime is 354823420813. The reversal of 354823420800 is 8024328453.

354823420800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83623479 + ... + 83627721.

It is an arithmetic number, because the mean of its divisors is an integer number (3153589080).

Almost surely, 2^354823420800 is an apocalyptic number.

354823420800 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 354823420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605489103360).

354823420800 is an abundant number, since it is smaller than the sum of its proper divisors (856154785920).

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

354823420800 is a wasteful number, since it uses less digits than its factorization.

354823420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4582 (or 4565 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 354823420800 in words is "three hundred fifty-four billion, eight hundred twenty-three million, four hundred twenty thousand, eight hundred".