34494400395 has 192 divisors, whose sum is σ = 77883187200. Its totient is φ = 14553592704.

The previous prime is 34494400387. The next prime is 34494400403. The reversal of 34494400395 is 59300449443.

34494400395 is a `hidden beast` number, since 34 + 494 + 40 + 0 + 3 + 95 = 666.

It is an interprime number because it is at equal distance from previous prime (34494400387) and next prime (34494400403).

It is not a de Polignac number, because 34494400395 - 2³ = 34494400387 is a prime.

It is a super-2 number, since 2×34494400395² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 34494400395.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5414502 + ... + 5420868.

It is an arithmetic number, because the mean of its divisors is an integer number (405641600).

Almost surely, 2^34494400395 is an apocalyptic number.

34494400395 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34494400395 is an abundant number, since it is smaller than the sum of its proper divisors (43388786805).

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

34494400395 is an equidigital number, since it uses as much as digits as its factorization.

34494400395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6421 (or 6395 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 34494400395 in words is "thirty-four billion, four hundred ninety-four million, four hundred thousand, three hundred ninety-five".