34668480000 has 1200 divisors, whose sum is σ = 148645468224. Its totient is φ = 7096320000.

The previous prime is 34668479999. The next prime is 34668480019. The reversal of 34668480000 is 8486643.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 517439967 + ... + 517440033.

Almost surely, 2^34668480000 is an apocalyptic number.

34668480000 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 34668480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74322734112).

34668480000 is an abundant number, since it is smaller than the sum of its proper divisors (113976988224).

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

34668480000 is an equidigital number, since it uses as much as digits as its factorization.

34668480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 34668480000 in words is "thirty-four billion, six hundred sixty-eight million, four hundred eighty thousand".