34956946751376 has 640 divisors, whose sum is σ = 108933727795200. Its totient is φ = 9559130112000.

The previous prime is 34956946751369. The next prime is 34956946751393. The reversal of 34956946751376 is 67315764965943.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34956946751298 and 34956946751307.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2853389251 + ... + 2853401501.

It is an arithmetic number, because the mean of its divisors is an integer number (170208949680).

Almost surely, 2^{34956946751376} 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 34956946751376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54466863897600).

34956946751376 is an abundant number, since it is smaller than the sum of its proper divisors (73976781043824).

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

34956946751376 is a wasteful number, since it uses less digits than its factorization.

34956946751376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12559 (or 12553 counting only the distinct ones).

The product of its digits is 3086294400, while the sum is 75.

The spelling of 34956946751376 in words is "thirty-four trillion, nine hundred fifty-six billion, nine hundred forty-six million, seven hundred fifty-one thousand, three hundred seventy-six".