3400221 has 48 divisors (see below), whose sum is σ = 5745600. Its totient is φ = 1774080.

The previous prime is 3400219. The next prime is 3400223. The reversal of 3400221 is 1220043.

3400221 = 414² + 415² + ... + 432².

It is an interprime number because it is at equal distance from previous prime (3400219) and next prime (3400223).

It is not a de Polignac number, because 3400221 - 2¹ = 3400219 is a prime.

It is an Ulam number.

3400221 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3400197 and 3400206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117235 + ... + 117263.

It is an arithmetic number, because the mean of its divisors is an integer number (119700).

Almost surely, 2^3400221 is an apocalyptic number.

3400221 is the 986-th nonagonal number.

It is an amenable number.

3400221 is a deficient number, since it is larger than the sum of its proper divisors (2345379).

3400221 is a wasteful number, since it uses less digits than its factorization.

3400221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3400221 is about 1843.9688175238. The cubic root of 3400221 is about 150.3727175549.

Adding to 3400221 its reverse (1220043), we get a palindrome (4620264).

The spelling of 3400221 in words is "three million, four hundred thousand, two hundred twenty-one".