34634225061504 has 128 divisors (see below), whose sum is σ = 102294186768000. Its totient is φ = 11536257576960.

The previous prime is 34634225061481. The next prime is 34634225061551. The reversal of 34634225061504 is 40516052243643.

34634225061504 is a `hidden beast` number, since 3 + 4 + 6 + 3 + 4 + 2 + 25 + 0 + 615 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×34634225061504² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34634225061504.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1021957 + ... + 8385275.

It is an arithmetic number, because the mean of its divisors is an integer number (799173334125).

Almost surely, 2^{34634225061504} 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 34634225061504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51147093384000).

34634225061504 is an abundant number, since it is smaller than the sum of its proper divisors (67659961706496).

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

34634225061504 is a wasteful number, since it uses less digits than its factorization.

34634225061504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7364703 (or 7364685 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 34634225061504 in words is "thirty-four trillion, six hundred thirty-four billion, two hundred twenty-five million, sixty-one thousand, five hundred four".