34720641761 has 16 divisors (see below), whose sum is σ = 39624273360. Its totient is φ = 30189895680.

The previous prime is 34720641749. The next prime is 34720641803. The reversal of 34720641761 is 16714602743.

It can be written as a sum of positive squares in 8 ways, for example, as 17597349025 + 17123292736 = 132655^2 + 130856^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34720641761 is a prime.

It is a super-2 number, since 2×34720641761² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34720641061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1107680 + ... + 1138593.

It is an arithmetic number, because the mean of its divisors is an integer number (2476517085).

Almost surely, 2^34720641761 is an apocalyptic number.

It is an amenable number.

34720641761 is a deficient number, since it is larger than the sum of its proper divisors (4903631599).

34720641761 is a wasteful number, since it uses less digits than its factorization.

34720641761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246356.

The product of its (nonzero) digits is 169344, while the sum is 41.

The spelling of 34720641761 in words is "thirty-four billion, seven hundred twenty million, six hundred forty-one thousand, seven hundred sixty-one".