34723149552 has 320 divisors, whose sum is σ = 125285314560. Its totient is φ = 8962430976.

The previous prime is 34723149547. The next prime is 34723149563. The reversal of 34723149552 is 25594132743.

It is a happy number.

34723149552 is a `hidden beast` number, since 34 + 7 + 23 + 1 + 49 + 552 = 666.

It is a super-2 number, since 2×34723149552² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34723149498 and 34723149507.

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, 1838268 + ... + 1857060.

It is an arithmetic number, because the mean of its divisors is an integer number (391516608).

Almost surely, 2^34723149552 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 34723149552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62642657280).

34723149552 is an abundant number, since it is smaller than the sum of its proper divisors (90562165008).

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

34723149552 is a wasteful number, since it uses less digits than its factorization.

34723149552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18877 (or 18865 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 34723149552 in words is "thirty-four billion, seven hundred twenty-three million, one hundred forty-nine thousand, five hundred fifty-two".