3400414121 has 16 divisors (see below), whose sum is σ = 3736723536. Its totient is φ = 3074962176.

The previous prime is 3400414109. The next prime is 3400414153. The reversal of 3400414121 is 1214140043.

It can be written as a sum of positive squares in 8 ways, for example, as 1065108496 + 2335305625 = 32636^2 + 48325^2 .

It is not a de Polignac number, because 3400414121 - 2⁶ = 3400414057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3400414093 and 3400414102.

It is not an unprimeable number, because it can be changed into a prime (3400414181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501671 + ... + 508403.

It is an arithmetic number, because the mean of its divisors is an integer number (233545221).

Almost surely, 2^3400414121 is an apocalyptic number.

It is an amenable number.

3400414121 is a deficient number, since it is larger than the sum of its proper divisors (336309415).

3400414121 is a wasteful number, since it uses less digits than its factorization.

3400414121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7532.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3400414121 is about 58313.0698986085. The cubic root of 3400414121 is about 1503.7556438745.

Adding to 3400414121 its reverse (1214140043), we get a palindrome (4614554164).

The spelling of 3400414121 in words is "three billion, four hundred million, four hundred fourteen thousand, one hundred twenty-one".