3249114001 has 27 divisors (see below), whose sum is σ = 4023387579. Its totient is φ = 2615661888.

The previous prime is 3249113993. The next prime is 3249114031. The reversal of 3249114001 is 1004119423.

It is a happy number.

The square root of 3249114001 is 57001.

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., 2529587025 + 719526976 = 50295^2 + 26824^2 .

It is not a de Polignac number, because 3249114001 - 2³ = 3249113993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3249114031) 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, 6782880 + ... + 6783358.

Almost surely, 2^3249114001 is an apocalyptic number.

3249114001 is the 57001-st square number.

3249114001 is the 28501-st centered octagonal number.

It is an amenable number.

3249114001 is a deficient number, since it is larger than the sum of its proper divisors (774273578).

3249114001 is an frugal number, since it uses more digits than its factorization.

3249114001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The cubic root of 3249114001 is about 1481.1134184546.

Multiplying 3249114001 by its sum of digits (25), we get a square (81227850025 = 285005²).

The spelling of 3249114001 in words is "three billion, two hundred forty-nine million, one hundred fourteen thousand, one".