37725782417 has 16 divisors (see below), whose sum is σ = 39316885440. Its totient is φ = 36167124672.

The previous prime is 37725782401. The next prime is 37725782429. The reversal of 37725782417 is 71428752773.

It is a happy number.

It is not a de Polignac number, because 37725782417 - 2⁴ = 37725782401 is a prime.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37725782447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1147703 + ... + 1180115.

It is an arithmetic number, because the mean of its divisors is an integer number (2457305340).

Almost surely, 2^37725782417 is an apocalyptic number.

37725782417 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

37725782417 is a deficient number, since it is larger than the sum of its proper divisors (1591103023).

37725782417 is a wasteful number, since it uses less digits than its factorization.

37725782417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32912.

The product of its digits is 4609920, while the sum is 53.

The spelling of 37725782417 in words is "thirty-seven billion, seven hundred twenty-five million, seven hundred eighty-two thousand, four hundred seventeen".