36954144000 has 720 divisors, whose sum is σ = 140633372880. Its totient is φ = 9632563200.

The previous prime is 36954143987. The next prime is 36954144047. The reversal of 36954144000 is 44145963.

It can be written as a sum of positive squares in 8 ways, for example, as 17322771456 + 19631372544 = 131616^2 + 140112^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 137375866 + ... + 137376134.

It is an arithmetic number, because the mean of its divisors is an integer number (195324129).

Almost surely, 2^36954144000 is an apocalyptic number.

36954144000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36954144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70316686440).

36954144000 is an abundant number, since it is smaller than the sum of its proper divisors (103679228880).

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

36954144000 is an equidigital number, since it uses as much as digits as its factorization.

36954144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 36954144000 its reverse (44145963), we get a palindrome (36998289963).

The spelling of 36954144000 in words is "thirty-six billion, nine hundred fifty-four million, one hundred forty-four thousand".