34280892801 has 9 divisors (see below), whose sum is σ = 49517647491. Its totient is φ = 22853558232.

The previous prime is 34280892791. The next prime is 34280892809. The reversal of 34280892801 is 10829808243.

The square root of 34280892801 is 185151.

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., 3278135025 + 31002757776 = 57255^2 + 176076^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-34280892801 is a prime.

It is a super-2 number, since 2×34280892801² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34280892809) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 524595 + ... + 586311.

Almost surely, 2^34280892801 is an apocalyptic number.

34280892801 is the 185151-st square number.

34280892801 is the 92576-th centered octagonal number.

It is an amenable number.

34280892801 is a deficient number, since it is larger than the sum of its proper divisors (15236754690).

34280892801 is an frugal number, since it uses more digits than its factorization.

34280892801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123440 (or 61720 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

It can be divided in two parts, 3428089 and 2801, that added together give a triangular number (3430890 = T₂₆₁₉).

The spelling of 34280892801 in words is "thirty-four billion, two hundred eighty million, eight hundred ninety-two thousand, eight hundred one".