38214346401 has 128 divisors (see below), whose sum is σ = 73522667520. Its totient is φ = 19040313600.

The previous prime is 38214346397. The next prime is 38214346411. The reversal of 38214346401 is 10464341283.

38214346401 is a `hidden beast` number, since 3 + 8 + 2 + 1 + 4 + 3 + 4 + 640 + 1 = 666.

It is not a de Polignac number, because 38214346401 - 2² = 38214346397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38214346411) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5458035 + ... + 5465031.

It is an arithmetic number, because the mean of its divisors is an integer number (574395840).

Almost surely, 2^38214346401 is an apocalyptic number.

It is an amenable number.

38214346401 is a deficient number, since it is larger than the sum of its proper divisors (35308321119).

38214346401 is a wasteful number, since it uses less digits than its factorization.

38214346401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7132 (or 7126 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 38214346401 its reverse (10464341283), we get a palindrome (48678687684).

The spelling of 38214346401 in words is "thirty-eight billion, two hundred fourteen million, three hundred forty-six thousand, four hundred one".