34394397253920 has 1152 divisors, whose sum is σ = 136606797250560. Its totient is φ = 8098720174080.

The previous prime is 34394397253841. The next prime is 34394397253987. The reversal of 34394397253920 is 2935279349343.

34394397253920 is a `hidden beast` number, since 3 + 4 + 3 + 9 + 4 + 3 + 9 + 72 + 539 + 20 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11377569529 + ... + 11377572551.

It is an arithmetic number, because the mean of its divisors is an integer number (118582289280).

Almost surely, 2^{34394397253920} is an apocalyptic number.

34394397253920 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 34394397253920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68303398625280).

34394397253920 is an abundant number, since it is smaller than the sum of its proper divisors (102212399996640).

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

34394397253920 is a wasteful number, since it uses less digits than its factorization.

34394397253920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 63.

The spelling of 34394397253920 in words is "thirty-four trillion, three hundred ninety-four billion, three hundred ninety-seven million, two hundred fifty-three thousand, nine hundred twenty".