37901372401 has 2 divisors, whose sum is σ = 37901372402. Its totient is φ = 37901372400.

The previous prime is 37901372357. The next prime is 37901372419. The reversal of 37901372401 is 10427310973.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34456269376 + 3445103025 = 185624^2 + 58695^2 .

It is a cyclic number.

It is not a de Polignac number, because 37901372401 - 2⁹ = 37901371889 is a prime.

It is a super-3 number, since 3×37901372401³ (a number of 33 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (37901372441) 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 as a sum of consecutive naturals, namely, 18950686200 + 18950686201.

It is an arithmetic number, because the mean of its divisors is an integer number (18950686201).

Almost surely, 2^37901372401 is an apocalyptic number.

It is an amenable number.

37901372401 is a deficient number, since it is larger than the sum of its proper divisors (1).

37901372401 is an equidigital number, since it uses as much as digits as its factorization.

37901372401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31752, while the sum is 37.

The spelling of 37901372401 in words is "thirty-seven billion, nine hundred one million, three hundred seventy-two thousand, four hundred one".