37675044000000 has 2835 divisors, whose sum is σ = 159489332319009. Its totient is φ = 8838720000000.

The previous prime is 37675043999959. The next prime is 37675044000001. The reversal of 37675044000000 is 44057673.

The square root of 37675044000000 is 6138000.

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

It can be written as a sum of positive squares in 3 ways, for example, as 33006955348224 + 4668088651776 = 5745168^2 + 2160576^2 .

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

It is not an unprimeable number, because it can be changed into a prime (37675044000001) by changing a digit.

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 314 ways as a sum of consecutive naturals, for example, 1215323999985 + ... + 1215324000015.

Almost surely, 2^{37675044000000} is an apocalyptic number.

37675044000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

37675044000000 is the 6138000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37675044000000

37675044000000 is an abundant number, since it is smaller than the sum of its proper divisors (121814288319009).

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

37675044000000 is an frugal number, since it uses more digits than its factorization.

37675044000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

37675044000000 divided by its sum of digits (36) gives a square (1046529000000 = 1023000²).

Adding to 37675044000000 its reverse (44057673), we get a palindrome (37675088057673).

The spelling of 37675044000000 in words is "thirty-seven trillion, six hundred seventy-five billion, forty-four million", and thus it is an aban number.