3522400761636 has 135 divisors (see below), whose sum is σ = 9292646878977. Its totient is φ = 1163469575520.

The previous prime is 3522400761569. The next prime is 3522400761647. The reversal of 3522400761636 is 6361670042253.

The square root of 3522400761636 is 1876806.

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

3522400761636 is a `hidden beast` number, since 3 + 5 + 2 + 2 + 4 + 0 + 0 + 7 + 6 + 1 + 636 = 666.

3522400761636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 961760721636 + 2560640040000 = 980694^2 + 1600200^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3522400761591 and 3522400761600.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4290378106 + ... + 4290378926.

Almost surely, 2^{3522400761636} is an apocalyptic number.

3522400761636 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3522400761636 is the 1876806-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3522400761636

3522400761636 is an abundant number, since it is smaller than the sum of its proper divisors (5770246117341).

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

3522400761636 is an frugal number, since it uses more digits than its factorization.

3522400761636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 3522400761636 in words is "three trillion, five hundred twenty-two billion, four hundred million, seven hundred sixty-one thousand, six hundred thirty-six".