34666319520 has 384 divisors, whose sum is σ = 140945978880. Its totient is φ = 7793418240.

The previous prime is 34666319507. The next prime is 34666319537. The reversal of 34666319520 is 2591366643.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1835244 + ... + 1854036.

It is an arithmetic number, because the mean of its divisors is an integer number (367046820).

Almost surely, 2^34666319520 is an apocalyptic number.

34666319520 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 34666319520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70472989440).

34666319520 is an abundant number, since it is smaller than the sum of its proper divisors (106279659360).

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

34666319520 is a wasteful number, since it uses less digits than its factorization.

34666319520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18885 (or 18871 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 34666319520 in words is "thirty-four billion, six hundred sixty-six million, three hundred nineteen thousand, five hundred twenty".