35544000400 has 30 divisors (see below), whose sum is σ = 85394461922. Its totient is φ = 14217600000.

The previous prime is 35544000389. The next prime is 35544000409. The reversal of 35544000400 is 400044553.

It can be written as a sum of positive squares in 3 ways, for example, as 9391935744 + 26152064656 = 96912^2 + 161716^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (35544000409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44429601 + ... + 44430400.

Almost surely, 2^35544000400 is an apocalyptic number.

It is an amenable number.

35544000400 is an abundant number, since it is smaller than the sum of its proper divisors (49850461522).

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

35544000400 is a wasteful number, since it uses less digits than its factorization.

35544000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88860019 (or 88860008 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 35544000400 its reverse (400044553), we get a palindrome (35944044953).

The spelling of 35544000400 in words is "thirty-five billion, five hundred forty-four million, four hundred", and thus it is an aban number.