34358978400 has 144 divisors (see below), whose sum is σ = 112464676800. Its totient is φ = 9111093760.

The previous prime is 34358978359. The next prime is 34358978413. The reversal of 34358978400 is 487985343.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389611 + ... + 469589.

It is an arithmetic number, because the mean of its divisors is an integer number (781004700).

Almost surely, 2^34358978400 is an apocalyptic number.

34358978400 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 34358978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56232338400).

34358978400 is an abundant number, since it is smaller than the sum of its proper divisors (78105698400).

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

34358978400 is a wasteful number, since it uses less digits than its factorization.

34358978400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80181 (or 80168 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 34358978400 in words is "thirty-four billion, three hundred fifty-eight million, nine hundred seventy-eight thousand, four hundred".