34949714200128 has 4480 divisors, whose sum is σ = 150686097408000. Its totient is φ = 7900913664000.

The previous prime is 34949714200123. The next prime is 34949714200129. The reversal of 34949714200128 is 82100241794943.

34949714200128 is a `hidden beast` number, since 3 + 4 + 9 + 4 + 97 + 1 + 420 + 0 + 128 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34949714200123) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 231455060853 + ... + 231455061003.

It is an arithmetic number, because the mean of its divisors is an integer number (33635289600).

Almost surely, 2^{34949714200128} is an apocalyptic number.

34949714200128 is a gapful number since it is divisible by the number (38) 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 34949714200128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75343048704000).

34949714200128 is an abundant number, since it is smaller than the sum of its proper divisors (115736383207872).

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

34949714200128 is a wasteful number, since it uses less digits than its factorization.

34949714200128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 34949714200128 in words is "thirty-four trillion, nine hundred forty-nine billion, seven hundred fourteen million, two hundred thousand, one hundred twenty-eight".