34729750823040 has 4032 divisors, whose sum is σ = 160132771168200. Its totient is φ = 7173527961600.

The previous prime is 34729750823003. The next prime is 34729750823041. The reversal of 34729750823040 is 4032805792743.

It is a happy number.

34729750823040 is a `hidden beast` number, since 3 + 4 + 7 + 2 + 97 + 508 + 2 + 3 + 0 + 40 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 117802714176 + 34611948108864 = 343224^2 + 5883192^2 .

It is a tau number, because it is divible by the number of its divisors (4032).

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 (34729750823041) by changing a digit.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 343858918990 + ... + 343858919090.

Almost surely, 2^{34729750823040} is an apocalyptic number.

34729750823040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34729750823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80066385584100).

34729750823040 is an abundant number, since it is smaller than the sum of its proper divisors (125403020345160).

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

34729750823040 is a wasteful number, since it uses less digits than its factorization.

34729750823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 34729750823040 in words is "thirty-four trillion, seven hundred twenty-nine billion, seven hundred fifty million, eight hundred twenty-three thousand, forty".