34375755649 has 9 divisors (see below), whose sum is σ = 35336992131. Its totient is φ = 33440006520.

The previous prime is 34375755599. The next prime is 34375755671. The reversal of 34375755649 is 94655757343.

The square root of 34375755649 is 185407.

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

It can be written as a sum of positive squares in only one way, i.e., 30759898225 + 3615857424 = 175385^2 + 60132^2 .

It is not a de Polignac number, because 34375755649 - 2³¹ = 32228272001 is a prime.

It is a super-2 number, since 2×34375755649² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34375755593 and 34375755602.

It is not an unprimeable number, because it can be changed into a prime (34375755049) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 6857554 + ... + 6862564.

It is an arithmetic number, because the mean of its divisors is an integer number (3926332459).

Almost surely, 2^34375755649 is an apocalyptic number.

34375755649 is the 185407-th square number.

34375755649 is the 92704-th centered octagonal number.

It is an amenable number.

34375755649 is a deficient number, since it is larger than the sum of its proper divisors (961236482).

34375755649 is an frugal number, since it uses more digits than its factorization.

34375755649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10096 (or 5048 counting only the distinct ones).

The product of its digits is 47628000, while the sum is 58.

The spelling of 34375755649 in words is "thirty-four billion, three hundred seventy-five million, seven hundred fifty-five thousand, six hundred forty-nine".