34429517445120 has 768 divisors, whose sum is σ = 127740727296000. Its totient is φ = 7754321756160.

The previous prime is 34429517445079. The next prime is 34429517445137. The reversal of 34429517445120 is 2154471592443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4069197690 + ... + 4069206150.

It is an arithmetic number, because the mean of its divisors is an integer number (166329072000).

Almost surely, 2^{34429517445120} is an apocalyptic number.

34429517445120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34429517445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63870363648000).

34429517445120 is an abundant number, since it is smaller than the sum of its proper divisors (93311209850880).

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

34429517445120 is a wasteful number, since it uses less digits than its factorization.

34429517445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8774 (or 8754 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 34429517445120 in words is "thirty-four trillion, four hundred twenty-nine billion, five hundred seventeen million, four hundred forty-five thousand, one hundred twenty".