34061552323904 has 672 divisors, whose sum is σ = 84540771532800. Its totient is φ = 13553670574080.

The previous prime is 34061552323867. The next prime is 34061552323907. The reversal of 34061552323904 is 40932325516043.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34061552323907) 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, 71109712337 + ... + 71109712815.

Almost surely, 2^{34061552323904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34061552323904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42270385766400).

34061552323904 is an abundant number, since it is smaller than the sum of its proper divisors (50479219208896).

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

34061552323904 is a wasteful number, since it uses less digits than its factorization.

34061552323904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 47.

Adding to 34061552323904 its reverse (40932325516043), we get a palindrome (74993877839947).

The spelling of 34061552323904 in words is "thirty-four trillion, sixty-one billion, five hundred fifty-two million, three hundred twenty-three thousand, nine hundred four".