34133734037104 has 60 divisors (see below), whose sum is σ = 72621304630992. Its totient is φ = 15532143244800.

The previous prime is 34133734037101. The next prime is 34133734037153. The reversal of 34133734037104 is 40173043733143.

It is a happy number.

It is a super-2 number, since 2×34133734037104² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34133734037101) 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, 88705357 + ... + 89089324.

Almost surely, 2^{34133734037104} is an apocalyptic number.

It is an amenable number.

34133734037104 is an abundant number, since it is smaller than the sum of its proper divisors (38487570593888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34133734037104 is a wasteful number, since it uses less digits than its factorization.

34133734037104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177794786 (or 177794767 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 43.

The spelling of 34133734037104 in words is "thirty-four trillion, one hundred thirty-three billion, seven hundred thirty-four million, thirty-seven thousand, one hundred four".