34926421840128 has 1440 divisors, whose sum is σ = 131296705892352. Its totient is φ = 8989902028800.

The previous prime is 34926421840127. The next prime is 34926421840183. The reversal of 34926421840128 is 82104812462943.

34926421840128 is a `hidden beast` number, since 3 + 4 + 9 + 264 + 218 + 40 + 128 = 666.

It is a super-4 number, since 4×34926421840128⁴ (a number of 55 digits) contains 4444 as substring.

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 (34926421840127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13799454223 + ... + 13799456753.

Almost surely, 2^{34926421840128} 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 34926421840128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65648352946176).

34926421840128 is an abundant number, since it is smaller than the sum of its proper divisors (96370284052224).

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

34926421840128 is a wasteful number, since it uses less digits than its factorization.

34926421840128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 34926421840128 in words is "thirty-four trillion, nine hundred twenty-six billion, four hundred twenty-one million, eight hundred forty thousand, one hundred twenty-eight".