34486013952000 has 3072 divisors, whose sum is σ = 147639848428800. Its totient is φ = 7893260697600.

The previous prime is 34486013951941. The next prime is 34486013952079. The reversal of 34486013952000 is 25931068443.

34486013952000 is a `hidden beast` number, since 3 + 4 + 4 + 8 + 601 + 39 + 5 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 415494143959 + ... + 415494144041.

Almost surely, 2^{34486013952000} is an apocalyptic number.

34486013952000 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 34486013952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73819924214400).

34486013952000 is an abundant number, since it is smaller than the sum of its proper divisors (113153834476800).

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

34486013952000 is an equidigital number, since it uses as much as digits as its factorization.

34486013952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 34486013952000 in words is "thirty-four trillion, four hundred eighty-six billion, thirteen million, nine hundred fifty-two thousand".