3536442264400 has 60 divisors (see below), whose sum is σ = 8545414282812. Its totient is φ = 1406400133120.

The previous prime is 3536442264373. The next prime is 3536442264463. The reversal of 3536442264400 is 44622446353.

It can be written as a sum of positive squares in 6 ways, for example, as 11315853376 + 3525126411024 = 106376^2 + 1877532^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 25483129 + ... + 25621528.

Almost surely, 2^{3536442264400} is an apocalyptic number.

It is an amenable number.

3536442264400 is an abundant number, since it is smaller than the sum of its proper divisors (5008972018412).

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

3536442264400 is a wasteful number, since it uses less digits than its factorization.

3536442264400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51104848 (or 51104837 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 43.

The spelling of 3536442264400 in words is "three trillion, five hundred thirty-six billion, four hundred forty-two million, two hundred sixty-four thousand, four hundred".