34670856480 has 384 divisors, whose sum is σ = 124442438400. Its totient is φ = 8043577344.

The previous prime is 34670856469. The next prime is 34670856491. The reversal of 34670856480 is 8465807643.

It is an interprime number because it is at equal distance from previous prime (34670856469) and next prime (34670856491).

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, 27149602 + ... + 27150878.

It is an arithmetic number, because the mean of its divisors is an integer number (324068850).

Almost surely, 2^34670856480 is an apocalyptic number.

34670856480 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 34670856480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62221219200).

34670856480 is an abundant number, since it is smaller than the sum of its proper divisors (89771581920).

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

34670856480 is a wasteful number, since it uses less digits than its factorization.

34670856480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 34670856480 in words is "thirty-four billion, six hundred seventy million, eight hundred fifty-six thousand, four hundred eighty".