38754756401 has 16 divisors (see below), whose sum is σ = 42270258240. Its totient is φ = 35386513920.

The previous prime is 38754756379. The next prime is 38754756431. The reversal of 38754756401 is 10465745783.

38754756401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 38754756401 - 2¹⁸ = 38754494257 is a prime.

It is a super-2 number, since 2×38754756401² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38754756401.

It is not an unprimeable number, because it can be changed into a prime (38754756431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30551 + ... + 280076.

It is an arithmetic number, because the mean of its divisors is an integer number (2641891140).

Almost surely, 2^38754756401 is an apocalyptic number.

It is an amenable number.

38754756401 is a deficient number, since it is larger than the sum of its proper divisors (3515501839).

38754756401 is a wasteful number, since it uses less digits than its factorization.

38754756401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310864.

The product of its (nonzero) digits is 2822400, while the sum is 50.

The spelling of 38754756401 in words is "thirty-eight billion, seven hundred fifty-four million, seven hundred fifty-six thousand, four hundred one".