34723738368 has 720 divisors, whose sum is σ = 119665244160. Its totient is φ = 9920102400.

The previous prime is 34723738367. The next prime is 34723738391. The reversal of 34723738368 is 86383732743.

34723738368 is a `hidden beast` number, since 3 + 47 + 237 + 3 + 8 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (34723738367) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 439540953 + ... + 439541031.

It is an arithmetic number, because the mean of its divisors is an integer number (166201728).

Almost surely, 2^34723738368 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 34723738368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59832622080).

34723738368 is an abundant number, since it is smaller than the sum of its proper divisors (84941505792).

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

34723738368 is a wasteful number, since it uses less digits than its factorization.

34723738368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 183 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The spelling of 34723738368 in words is "thirty-four billion, seven hundred twenty-three million, seven hundred thirty-eight thousand, three hundred sixty-eight".