354200761408 has 28 divisors (see below), whose sum is σ = 756933840460. Its totient is φ = 163477274112.

The previous prime is 354200761393. The next prime is 354200761451. The reversal of 354200761408 is 804167002453.

It can be written as a sum of positive squares in 2 ways, for example, as 166718689344 + 187482072064 = 408312^2 + 432992^2 .

It is a super-3 number, since 3×354200761408³ (a number of 36 digits) contains 333 as substring.

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 3 ways as a sum of consecutive naturals, for example, 212860203 + ... + 212861866.

It is an arithmetic number, because the mean of its divisors is an integer number (27033351445).

Almost surely, 2^354200761408 is an apocalyptic number.

It is an amenable number.

354200761408 is an abundant number, since it is smaller than the sum of its proper divisors (402733079052).

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

354200761408 is a wasteful number, since it uses less digits than its factorization.

354200761408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425722094 (or 425722084 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 354200761408 in words is "three hundred fifty-four billion, two hundred million, seven hundred sixty-one thousand, four hundred eight".