34906544091342 has 192 divisors, whose sum is σ = 99023133081600. Its totient is φ = 8951866541280.

The previous prime is 34906544091283. The next prime is 34906544091343. The reversal of 34906544091342 is 24319044560943.

It is a happy number.

34906544091342 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 6 + 544 + 0 + 91 + 3 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34906544091343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2947342 + ... + 8860017.

It is an arithmetic number, because the mean of its divisors is an integer number (515745484800).

Almost surely, 2^{34906544091342} is an apocalyptic number.

34906544091342 is an abundant number, since it is smaller than the sum of its proper divisors (64116588990258).

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

34906544091342 is a wasteful number, since it uses less digits than its factorization.

34906544091342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11807473 (or 11807461 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 34906544091342 in words is "thirty-four trillion, nine hundred six billion, five hundred forty-four million, ninety-one thousand, three hundred forty-two".