354775096900 has 243 divisors, whose sum is σ = 916334469981. Its totient is φ = 118878217920.

The previous prime is 354775096889. The next prime is 354775096919. The reversal of 354775096900 is 9690577453.

The square root of 354775096900 is 595630.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 127719034884 + 227056062016 = 357378^2 + 476504^2 .

It is a super-2 number, since 2×354775096900² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2793504637 + ... + 2793504763.

Almost surely, 2^354775096900 is an apocalyptic number.

354775096900 is the 595630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354775096900

354775096900 is an abundant number, since it is smaller than the sum of its proper divisors (561559373081).

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

354775096900 is a wasteful number, since it uses less digits than its factorization.

354775096900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 55.

The spelling of 354775096900 in words is "three hundred fifty-four billion, seven hundred seventy-five million, ninety-six thousand, nine hundred".