37134834417 has 24 divisors (see below), whose sum is σ = 54081490944. Its totient is φ = 24552569664.

The previous prime is 37134834371. The next prime is 37134834431. The reversal of 37134834417 is 71443843173.

It is a happy number.

It is not a de Polignac number, because 37134834417 - 2²⁰ = 37133785841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (37134832417) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4742968 + ... + 4750790.

It is an arithmetic number, because the mean of its divisors is an integer number (2253395456).

Almost surely, 2^37134834417 is an apocalyptic number.

It is an amenable number.

37134834417 is a deficient number, since it is larger than the sum of its proper divisors (16946656527).

37134834417 is a wasteful number, since it uses less digits than its factorization.

37134834417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12109 (or 12106 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 37134834417 in words is "thirty-seven billion, one hundred thirty-four million, eight hundred thirty-four thousand, four hundred seventeen".