3210468921 has 81 divisors (see below), whose sum is σ = 5468863309. Its totient is φ = 1813152000.

The previous prime is 3210468907. The next prime is 3210468959. The reversal of 3210468921 is 1298640123.

The square root of 3210468921 is 56661.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1911875625 + 1298593296 = 43725^2 + 36036^2 .

It is not a de Polignac number, because 3210468921 - 2¹⁵ = 3210436153 is a prime.

It is a super-2 number, since 2×3210468921² = 20614221385413808482, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3210468901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 31786771 + ... + 31786871.

Almost surely, 2^3210468921 is an apocalyptic number.

3210468921 is the 56661-st square number.

3210468921 is the 28331-st centered octagonal number.

It is an amenable number.

3210468921 is a deficient number, since it is larger than the sum of its proper divisors (2258394388).

3210468921 is a wasteful number, since it uses less digits than its factorization.

3210468921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The cubic root of 3210468921 is about 1475.2178433015.

Multiplying 3210468921 by its sum of digits (36), we get a square (115576881156 = 339966²).

Multiplying 3210468921 by its product of nonzero digits (20736), we get a square (66572283545856 = 8159184²).

It can be divided in two parts, 32104 and 68921, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 3210468921 in words is "three billion, two hundred ten million, four hundred sixty-eight thousand, nine hundred twenty-one".