34926954133728 has 384 divisors, whose sum is σ = 97038826536960. Its totient is φ = 10985476884480.

The previous prime is 34926954133679. The next prime is 34926954133783. The reversal of 34926954133728 is 82733145962943.

It is a happy number.

It is a super-3 number, since 3×34926954133728³ (a number of 42 digits) contains 333 as substring.

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, 24475790551 + ... + 24475791977.

It is an arithmetic number, because the mean of its divisors is an integer number (252705277440).

Almost surely, 2^{34926954133728} 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 34926954133728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48519413268480).

34926954133728 is an abundant number, since it is smaller than the sum of its proper divisors (62111872403232).

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

34926954133728 is a wasteful number, since it uses less digits than its factorization.

34926954133728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 2542 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 66.

The spelling of 34926954133728 in words is "thirty-four trillion, nine hundred twenty-six billion, nine hundred fifty-four million, one hundred thirty-three thousand, seven hundred twenty-eight".