3929001873241 has 27 divisors (see below), whose sum is σ = 4159239783093. Its totient is φ = 3711337693560.

The previous prime is 3929001873197. The next prime is 3929001873281. The reversal of 3929001873241 is 1423781009293.

It is a happy number.

The square root of 3929001873241 is 1982171.

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

It is not a de Polignac number, because 3929001873241 - 2¹⁵ = 3929001840473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3929001873281) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2642233200 + ... + 2642234686.

Almost surely, 2^{3929001873241} is an apocalyptic number.

3929001873241 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3929001873241 is the 1982171-st square number.

3929001873241 is the 991086-th centered octagonal number.

It is an amenable number.

3929001873241 is a deficient number, since it is larger than the sum of its proper divisors (230237909852).

3929001873241 is an frugal number, since it uses more digits than its factorization.

3929001873241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

Multiplying 3929001873241 by its sum of digits (49), we get a square (192521091788809 = 13875197²).

The spelling of 3929001873241 in words is "three trillion, nine hundred twenty-nine billion, one million, eight hundred seventy-three thousand, two hundred forty-one".