35220687828804 has 81 divisors (see below), whose sum is σ = 91997536276191. Its totient is φ = 11361156120720.

The previous prime is 35220687828797. The next prime is 35220687828811. The reversal of 35220687828804 is 40882878602253.

The square root of 35220687828804 is 5934702.

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

35220687828804 is a `hidden beast` number, since 3 + 5 + 220 + 68 + 78 + 288 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (35220687828797) and next prime (35220687828811).

It is a super-2 number, since 2×35220687828804² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1103838619 + ... + 1103870525.

Almost surely, 2^{35220687828804} is an apocalyptic number.

35220687828804 is the 5934702-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35220687828804

35220687828804 is an abundant number, since it is smaller than the sum of its proper divisors (56776848447387).

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

35220687828804 is an frugal number, since it uses more digits than its factorization.

35220687828804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63886 (or 31943 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 35220687828804 in words is "thirty-five trillion, two hundred twenty billion, six hundred eighty-seven million, eight hundred twenty-eight thousand, eight hundred four".