34730804160 has 1344 divisors, whose sum is σ = 147621906432. Its totient is φ = 7691894784.

The previous prime is 34730804131. The next prime is 34730804167. The reversal of 34730804160 is 6140803743.

34730804160 is a `hidden beast` number, since 347 + 308 + 0 + 4 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34730804167) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 738953257 + ... + 738953303.

It is an arithmetic number, because the mean of its divisors is an integer number (109837728).

Almost surely, 2^34730804160 is an apocalyptic number.

34730804160 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 34730804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73810953216).

34730804160 is an abundant number, since it is smaller than the sum of its proper divisors (112891102272).

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

34730804160 is a wasteful number, since it uses less digits than its factorization.

34730804160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 34730804160 in words is "thirty-four billion, seven hundred thirty million, eight hundred four thousand, one hundred sixty".