34034400741 has 16 divisors (see below), whose sum is σ = 52416618048. Its totient is φ = 19413561600.

The previous prime is 34034400641. The next prime is 34034400761. The reversal of 34034400741 is 14700443043.

It is not a de Polignac number, because 34034400741 - 2⁷ = 34034400613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34034400699 and 34034400708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34034400761) 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, 30333130 + ... + 30334251.

It is an arithmetic number, because the mean of its divisors is an integer number (3276038628).

Almost surely, 2^34034400741 is an apocalyptic number.

It is an amenable number.

34034400741 is a deficient number, since it is larger than the sum of its proper divisors (18382217307).

34034400741 is a wasteful number, since it uses less digits than its factorization.

34034400741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60667412.

The product of its (nonzero) digits is 16128, while the sum is 30.

Adding to 34034400741 its reverse (14700443043), we get a palindrome (48734843784).

The spelling of 34034400741 in words is "thirty-four billion, thirty-four million, four hundred thousand, seven hundred forty-one".