3414144330 has 80 divisors (see below), whose sum is σ = 9189522144. Its totient is φ = 909519840.

The previous prime is 3414144329. The next prime is 3414144347. The reversal of 3414144330 is 334414143.

It is a super-2 number, since 2×3414144330² = 23312763012142297800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3414144294 and 3414144303.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1271169 + ... + 1273851.

Almost surely, 2^3414144330 is an apocalyptic number.

3414144330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414144330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4594761072).

3414144330 is an abundant number, since it is smaller than the sum of its proper divisors (5775377814).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3414144330 is a wasteful number, since it uses less digits than its factorization.

3414144330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4273 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3414144330 is about 58430.6796982544. The cubic root of 3414144330 is about 1505.7768831859.

Adding to 3414144330 its reverse (334414143), we get a palindrome (3748558473).

It can be divided in two parts, 341414 and 4330, that added together give a square (345744 = 588²).

The spelling of 3414144330 in words is "three billion, four hundred fourteen million, one hundred forty-four thousand, three hundred thirty".