34901935421796 has 81 divisors (see below), whose sum is σ = 88935957664281. Its totient is φ = 11540883582144.

The previous prime is 34901935421779. The next prime is 34901935421807. The reversal of 34901935421796 is 69712453910943.

It is a happy number.

The square root of 34901935421796 is 5907786.

It is a perfect power (a square), and thus also a powerful number.

34901935421796 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 19 + 3 + 542 + 1 + 79 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34740061164900 + 161874256896 = 5894070^2 + 402336^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4501729056 + ... + 4501736808.

Almost surely, 2^{34901935421796} is an apocalyptic number.

34901935421796 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

34901935421796 is the 5907786-th square number.

It is an amenable number.

34901935421796 is an abundant number, since it is smaller than the sum of its proper divisors (54034022242485).

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

34901935421796 is an frugal number, since it uses more digits than its factorization.

34901935421796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15770 (or 7885 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 34901935421796 in words is "thirty-four trillion, nine hundred one billion, nine hundred thirty-five million, four hundred twenty-one thousand, seven hundred ninety-six".