37341241344 has 336 divisors, whose sum is σ = 120651751584. Its totient is φ = 11029708800.

The previous prime is 37341241307. The next prime is 37341241351. The reversal of 37341241344 is 44314214373.

37341241344 is a `hidden beast` number, since 3 + 73 + 4 + 1 + 241 + 344 = 666.

It is a super-2 number, since 2×37341241344² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 37341241299 and 37341241308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33250767 + ... + 33251889.

It is an arithmetic number, because the mean of its divisors is an integer number (359082594).

Almost surely, 2^37341241344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37341241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60325875792).

37341241344 is an abundant number, since it is smaller than the sum of its proper divisors (83310510240).

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

37341241344 is a wasteful number, since it uses less digits than its factorization.

37341241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1180 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The spelling of 37341241344 in words is "thirty-seven billion, three hundred forty-one million, two hundred forty-one thousand, three hundred forty-four".