34378496640 has 384 divisors, whose sum is σ = 127340553600. Its totient is φ = 8519786496.

The previous prime is 34378496617. The next prime is 34378496731. The reversal of 34378496640 is 4669487343.

34378496640 is a `hidden beast` number, since 3 + 43 + 78 + 496 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 5797357 + ... + 5803283.

It is an arithmetic number, because the mean of its divisors is an integer number (331616025).

Almost surely, 2^34378496640 is an apocalyptic number.

34378496640 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 34378496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63670276800).

34378496640 is an abundant number, since it is smaller than the sum of its proper divisors (92962056960).

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

34378496640 is a wasteful number, since it uses less digits than its factorization.

34378496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6024 (or 6009 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 34378496640 in words is "thirty-four billion, three hundred seventy-eight million, four hundred ninety-six thousand, six hundred forty".