34665079680 has 512 divisors, whose sum is σ = 153072460800. Its totient is φ = 7202856960.

The previous prime is 34665079679. The next prime is 34665079697. The reversal of 34665079680 is 8697056643.

34665079680 is a `hidden beast` number, since 3 + 46 + 6 + 507 + 96 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1317534 + ... + 1343586.

It is an arithmetic number, because the mean of its divisors is an integer number (298969650).

Almost surely, 2^34665079680 is an apocalyptic number.

34665079680 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 34665079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76536230400).

34665079680 is an abundant number, since it is smaller than the sum of its proper divisors (118407381120).

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

34665079680 is a wasteful number, since it uses less digits than its factorization.

34665079680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26099 (or 26081 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 34665079680 in words is "thirty-four billion, six hundred sixty-five million, seventy-nine thousand, six hundred eighty".