37643906844672 has 48 divisors (see below), whose sum is σ = 100359243850320. Its totient is φ = 12547968946176.

The previous prime is 37643906844671. The next prime is 37643906844851. The reversal of 37643906844672 is 27644860934673.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×37643906844672⁴ (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 37643906844597 and 37643906844606.

It is not an unprimeable number, because it can be changed into a prime (37643906844671) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3063462838 + ... + 3063475125.

It is an arithmetic number, because the mean of its divisors is an integer number (2090817580215).

Almost surely, 2^{37643906844672} is an apocalyptic number.

37643906844672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

37643906844672 is an abundant number, since it is smaller than the sum of its proper divisors (62715337005648).

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

37643906844672 is an equidigital number, since it uses as much as digits as its factorization.

37643906844672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6126937988 (or 6126937968 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 69.

The spelling of 37643906844672 in words is "thirty-seven trillion, six hundred forty-three billion, nine hundred six million, eight hundred forty-four thousand, six hundred seventy-two".