34987328401 has 3 divisors (see below), whose sum is σ = 34987515451. Its totient is φ = 34987141352.

The previous prime is 34987328399. The next prime is 34987328413. The reversal of 34987328401 is 10482378943.

It is a happy number.

The square root of 34987328401 is 187049.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 10482378943 = 37 ⋅283307539.

It can be written as a sum of positive squares in only one way, i.e., 6304518801 + 28682809600 = 79401^2 + 169360^2 .

It is not a de Polignac number, because 34987328401 - 2¹ = 34987328399 is a prime.

It is a super-2 number, since 2×34987328401² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34987328801) 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 2 ways as a sum of consecutive naturals, for example, 93525 + ... + 280573.

Almost surely, 2^34987328401 is an apocalyptic number.

34987328401 is the 187049-th square number.

34987328401 is the 93525-th centered octagonal number.

It is an amenable number.

34987328401 is a deficient number, since it is larger than the sum of its proper divisors (187050).

34987328401 is an frugal number, since it uses more digits than its factorization.

34987328401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374098 (or 187049 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

Multiplying 34987328401 by its sum of digits (49), we get a square (1714379091649 = 1309343²).

The spelling of 34987328401 in words is "thirty-four billion, nine hundred eighty-seven million, three hundred twenty-eight thousand, four hundred one".