37252136673344 has 28 divisors (see below), whose sum is σ = 73922524419324. Its totient is φ = 18625988788224.

The previous prime is 37252136673343. The next prime is 37252136673431. The reversal of 37252136673344 is 44337663125273.

It can be written as a sum of positive squares in 2 ways, for example, as 35410687673344 + 1841449000000 = 5950688^2 + 1357000^2 .

It is a super-3 number, since 3×37252136673344³ (a number of 42 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 37252136673344.

It is not an unprimeable number, because it can be changed into a prime (37252136673343) 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, 15636512 + ... + 17860704.

It is an arithmetic number, because the mean of its divisors is an integer number (2640090157833).

Almost surely, 2^{37252136673344} is an apocalyptic number.

It is an amenable number.

37252136673344 is a deficient number, since it is larger than the sum of its proper divisors (36670387745980).

37252136673344 is a wasteful number, since it uses less digits than its factorization.

37252136673344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485902 (or 2485892 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 56.

The spelling of 37252136673344 in words is "thirty-seven trillion, two hundred fifty-two billion, one hundred thirty-six million, six hundred seventy-three thousand, three hundred forty-four".