34630738688952 has 192 divisors, whose sum is σ = 111856633274880. Its totient is φ = 9463810473216.

The previous prime is 34630738688941. The next prime is 34630738688969. The reversal of 34630738688952 is 25988683703643.

34630738688952 is a `hidden beast` number, since 3 + 463 + 0 + 7 + 3 + 86 + 8 + 89 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261600043 + ... + 261732389.

It is an arithmetic number, because the mean of its divisors is an integer number (582586631640).

Almost surely, 2^{34630738688952} 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 34630738688952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55928316637440).

34630738688952 is an abundant number, since it is smaller than the sum of its proper divisors (77225894585928).

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

34630738688952 is a wasteful number, since it uses less digits than its factorization.

34630738688952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154962 (or 154955 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 34630738688952 in words is "thirty-four trillion, six hundred thirty billion, seven hundred thirty-eight million, six hundred eighty-eight thousand, nine hundred fifty-two".