34905930608016 has 60 divisors (see below), whose sum is σ = 105202596421468. Its totient is φ = 10740286340352.

The previous prime is 34905930607969. The next prime is 34905930608053. The reversal of 34905930608016 is 61080603950943.

34905930608016 is a `hidden beast` number, since 3 + 49 + 0 + 593 + 0 + 6 + 0 + 8 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1431143260416 + 33474787347600 = 1196304^2 + 5785740^2 .

It is a super-2 number, since 2×34905930608016² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9323163355 + ... + 9323167098.

Almost surely, 2^{34905930608016} is an apocalyptic number.

34905930608016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34905930608016 is an abundant number, since it is smaller than the sum of its proper divisors (70296665813452).

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

34905930608016 is a wasteful number, since it uses less digits than its factorization.

34905930608016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18646330480 (or 18646330471 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 34905930608016 in words is "thirty-four trillion, nine hundred five billion, nine hundred thirty million, six hundred eight thousand, sixteen".