36484004000400 has 120 divisors (see below), whose sum is σ = 127495010389344. Its totient is φ = 8844607027200.

The previous prime is 36484004000371. The next prime is 36484004000413. The reversal of 36484004000400 is 400040048463.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 23 ways as a sum of consecutive naturals, for example, 1381956649 + ... + 1381983048.

Almost surely, 2^{36484004000400} is an apocalyptic number.

36484004000400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36484004000400 is an abundant number, since it is smaller than the sum of its proper divisors (91011006388944).

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

36484004000400 is a wasteful number, since it uses less digits than its factorization.

36484004000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763939729 (or 2763939718 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 36484004000400 its reverse (400040048463), we get a palindrome (36884044048863).

The spelling of 36484004000400 in words is "thirty-six trillion, four hundred eighty-four billion, four million, four hundred", and thus it is an aban number.