3401572329 has 9 divisors (see below), whose sum is σ = 4913634999. Its totient is φ = 2267598240.

The previous prime is 3401572303. The next prime is 3401572409. The reversal of 3401572329 is 9232751043.

The square root of 3401572329 is 58323.

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., 788317929 + 2613254400 = 28077^2 + 51120^2 .

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

It is not a de Polignac number, because 3401572329 - 2¹¹ = 3401570281 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3401572293 and 3401572302.

It is not an unprimeable number, because it can be changed into a prime (3401572129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 165249 + ... + 184689.

Almost surely, 2^3401572329 is an apocalyptic number.

3401572329 is the 58323-rd square number.

3401572329 is the 29162-nd centered octagonal number.

It is an amenable number.

3401572329 is a deficient number, since it is larger than the sum of its proper divisors (1512062670).

3401572329 is an frugal number, since it uses more digits than its factorization.

3401572329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38888 (or 19444 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The cubic root of 3401572329 is about 1503.9263548577.

Multiplying 3401572329 by its sum of digits (36), we get a square (122456603844 = 349938²).

The spelling of 3401572329 in words is "three billion, four hundred one million, five hundred seventy-two thousand, three hundred twenty-nine".