34981330401 has 12 divisors (see below), whose sum is σ = 51019158528. Its totient is φ = 23094469944.

The previous prime is 34981330393. The next prime is 34981330427. The reversal of 34981330401 is 10403318943.

34981330401 is a `hidden beast` number, since 34 + 98 + 133 + 0 + 401 = 666.

It is not a de Polignac number, because 34981330401 - 2³ = 34981330393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34981330451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18867105 + ... + 18868958.

It is an arithmetic number, because the mean of its divisors is an integer number (4251596544).

Almost surely, 2^34981330401 is an apocalyptic number.

It is an amenable number.

34981330401 is a deficient number, since it is larger than the sum of its proper divisors (16037828127).

34981330401 is a wasteful number, since it uses less digits than its factorization.

34981330401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37736172 (or 37736169 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 34981330401 in words is "thirty-four billion, nine hundred eighty-one million, three hundred thirty thousand, four hundred one".