354404207304 has 1024 divisors, whose sum is σ = 1314938880000. Its totient is φ = 87373624320.

The previous prime is 354404207299. The next prime is 354404207329. The reversal of 354404207304 is 403702404453.

354404207304 is a `hidden beast` number, since 3 + 5 + 440 + 4 + 207 + 3 + 0 + 4 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11432393769 + ... + 11432393799.

It is an arithmetic number, because the mean of its divisors is an integer number (1284120000).

Almost surely, 2^354404207304 is an apocalyptic number.

354404207304 is a gapful number since it is divisible by the number (34) 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 354404207304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657469440000).

354404207304 is an abundant number, since it is smaller than the sum of its proper divisors (960534672696).

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

354404207304 is an equidigital number, since it uses as much as digits as its factorization.

354404207304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

The spelling of 354404207304 in words is "three hundred fifty-four billion, four hundred four million, two hundred seven thousand, three hundred four".