34664928480 has 2160 divisors, whose sum is σ = 171753508080. Its totient is φ = 6521389056.

The previous prime is 34664928439. The next prime is 34664928481. The reversal of 34664928480 is 8482946643.

34664928480 is a `hidden beast` number, since 346 + 64 + 92 + 84 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×34664928480² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34664928481) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1824469911 + ... + 1824469929.

It is an arithmetic number, because the mean of its divisors is an integer number (79515513).

Almost surely, 2^34664928480 is an apocalyptic number.

34664928480 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 34664928480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85876754040).

34664928480 is an abundant number, since it is smaller than the sum of its proper divisors (137088579600).

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

34664928480 is a wasteful number, since it uses less digits than its factorization.

34664928480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 34664928480 in words is "thirty-four billion, six hundred sixty-four million, nine hundred twenty-eight thousand, four hundred eighty".