34378994499360 has 2304 divisors, whose sum is σ = 143487176232960. Its totient is φ = 6862012416000.

The previous prime is 34378994499331. The next prime is 34378994499383. The reversal of 34378994499360 is 6399449987343.

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 383 ways as a sum of consecutive naturals, for example, 30999994486 + ... + 30999995594.

It is an arithmetic number, because the mean of its divisors is an integer number (62277420240).

Almost surely, 2^{34378994499360} is an apocalyptic number.

34378994499360 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 34378994499360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71743588116480).

34378994499360 is an abundant number, since it is smaller than the sum of its proper divisors (109108181733600).

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

34378994499360 is a wasteful number, since it uses less digits than its factorization.

34378994499360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 3809369088, while the sum is 78.

The spelling of 34378994499360 in words is "thirty-four trillion, three hundred seventy-eight billion, nine hundred ninety-four million, four hundred ninety-nine thousand, three hundred sixty".