37978416001 has 8 divisors (see below), whose sum is σ = 38318904360. Its totient is φ = 37638004992.

The previous prime is 37978415977. The next prime is 37978416013. The reversal of 37978416001 is 10061487973.

It can be written as a sum of positive squares in 4 ways, for example, as 201601 + 37978214400 = 449^2 + 194880^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 37978416001 - 2⁷ = 37978415873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37978416101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1491291 + ... + 1516543.

It is an arithmetic number, because the mean of its divisors is an integer number (4789863045).

Almost surely, 2^37978416001 is an apocalyptic number.

It is an amenable number.

37978416001 is a deficient number, since it is larger than the sum of its proper divisors (340488359).

37978416001 is a wasteful number, since it uses less digits than its factorization.

37978416001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38675.

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 37978416001 in words is "thirty-seven billion, nine hundred seventy-eight million, four hundred sixteen thousand, one".