34894345920 has 224 divisors, whose sum is σ = 127328371200. Its totient is φ = 7931019264.

The previous prime is 34894345907. The next prime is 34894345933. The reversal of 34894345920 is 2954349843.

It is an interprime number because it is at equal distance from previous prime (34894345907) and next prime (34894345933).

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 1188376 + ... + 1217384.

Almost surely, 2^34894345920 is an apocalyptic number.

34894345920 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 34894345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63664185600).

34894345920 is an abundant number, since it is smaller than the sum of its proper divisors (92434025280).

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

34894345920 is a wasteful number, since it uses less digits than its factorization.

34894345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29215 (or 29205 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 34894345920 in words is "thirty-four billion, eight hundred ninety-four million, three hundred forty-five thousand, nine hundred twenty".