35074940208100 has 81 divisors (see below), whose sum is σ = 82419616881777. Its totient is φ = 12950462878080.

The previous prime is 35074940208097. The next prime is 35074940208107. The reversal of 35074940208100 is 180204947053.

The square root of 35074940208100 is 5922410.

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

It can be written as a sum of positive squares in 13 ways, for example, as 33974606343076 + 1100333865024 = 5828774^2 + 1048968^2 .

It is a super-2 number, since 2×35074940208100² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35074940208107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 769890522 + ... + 769936078.

Almost surely, 2^{35074940208100} is an apocalyptic number.

35074940208100 is the 5922410-th square number.

It is an amenable number.

35074940208100 is an abundant number, since it is smaller than the sum of its proper divisors (47344676673677).

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

35074940208100 is an frugal number, since it uses more digits than its factorization.

35074940208100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91154 (or 45577 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 35074940208100 in words is "thirty-five trillion, seventy-four billion, nine hundred forty million, two hundred eight thousand, one hundred".