37820196000000 has 1260 divisors, whose sum is σ = 142349563761636. Its totient is φ = 9986457600000.

The previous prime is 37820195999941. The next prime is 37820196000017. The reversal of 37820196000000 is 69102873.

37820196000000 is a `hidden beast` number, since 37 + 8 + 2 + 0 + 19 + 600 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 14 ways, for example, as 30587624849664 + 7232571150336 = 5530608^2 + 2689344^2 .

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 36611999484 + ... + 36612000516.

Almost surely, 2^{37820196000000} is an apocalyptic number.

37820196000000 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 37820196000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71174781880818).

37820196000000 is an abundant number, since it is smaller than the sum of its proper divisors (104529367761636).

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

37820196000000 is an frugal number, since it uses more digits than its factorization.

37820196000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 37820196000000 in words is "thirty-seven trillion, eight hundred twenty billion, one hundred ninety-six million", and thus it is an aban number.