354320435304100 has 72 divisors (see below), whose sum is σ = 814107014831880. Its totient is φ = 133390615019520.

The previous prime is 354320435304097. The next prime is 354320435304119. The reversal of 354320435304100 is 1403534023453.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 281890912356 + 354038544391744 = 530934^2 + 18815912^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 354320435304100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585342396 + ... + 585947404.

It is an arithmetic number, because the mean of its divisors is an integer number (11307041872665).

Almost surely, 2^{354320435304100} is an apocalyptic number.

It is an amenable number.

354320435304100 is an abundant number, since it is smaller than the sum of its proper divisors (459786579527780).

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

354320435304100 is a wasteful number, since it uses less digits than its factorization.

354320435304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949537 (or 949530 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 37.

Adding to 354320435304100 its reverse (1403534023453), we get a palindrome (355723969327553).

The spelling of 354320435304100 in words is "three hundred fifty-four trillion, three hundred twenty billion, four hundred thirty-five million, three hundred four thousand, one hundred".