34075703404001 has 12 divisors (see below), whose sum is σ = 39928419935748. Its totient is φ = 28994550544512.

The previous prime is 34075703403991. The next prime is 34075703404007. The reversal of 34075703404001 is 10040430757043.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6753756242401 + 27321947161600 = 2598799^2 + 5227040^2 .

It is not a de Polignac number, because 34075703404001 - 2¹⁴ = 34075703387617 is a prime.

It is a super-2 number, since 2×34075703404001² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34075703404007) 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, 2538031676 + ... + 2538045101.

It is an arithmetic number, because the mean of its divisors is an integer number (3327368327979).

Almost surely, 2^{34075703404001} is an apocalyptic number.

It is an amenable number.

34075703404001 is a deficient number, since it is larger than the sum of its proper divisors (5852716531747).

34075703404001 is a wasteful number, since it uses less digits than its factorization.

34075703404001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5076076928 (or 5076076921 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 38.

The spelling of 34075703404001 in words is "thirty-four trillion, seventy-five billion, seven hundred three million, four hundred four thousand, one".