34394359781376 has 1008 divisors, whose sum is σ = 122881328617320. Its totient is φ = 9586441912320.

The previous prime is 34394359781303. The next prime is 34394359781497. The reversal of 34394359781376 is 67318795349343.

34394359781376 is a `hidden beast` number, since 3 + 4 + 3 + 94 + 3 + 5 + 97 + 81 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1234517760) is a multiple of the sum of its prime divisors (11520).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2999415195 + ... + 2999426661.

Almost surely, 2^{34394359781376} is an apocalyptic number.

34394359781376 is a gapful number since it is divisible by the number (36) 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 34394359781376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61440664308660).

34394359781376 is an abundant number, since it is smaller than the sum of its proper divisors (88486968835944).

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

34394359781376 is an equidigital number, since it uses as much as digits as its factorization.

34394359781376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11562 (or 11520 counting only the distinct ones).

The product of its digits is 1234517760, while the sum is 72.

The spelling of 34394359781376 in words is "thirty-four trillion, three hundred ninety-four billion, three hundred fifty-nine million, seven hundred eighty-one thousand, three hundred seventy-six".