3484420416 has 140 divisors (see below), whose sum is σ = 10375491060. Its totient is φ = 1156239360.

The previous prime is 3484420363. The next prime is 3484420417. The reversal of 3484420416 is 6140244843.

It can be written as a sum of positive squares in 2 ways, for example, as 2411202816 + 1073217600 = 49104^2 + 32760^2 .

It is a super-2 number, since 2×3484420416² = 24282371270875226112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3484420417) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1247950 + ... + 1250738.

Almost surely, 2^3484420416 is an apocalyptic number.

3484420416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3484420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5187745530).

3484420416 is an abundant number, since it is smaller than the sum of its proper divisors (6891070644).

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

3484420416 is a wasteful number, since it uses less digits than its factorization.

3484420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 3484420416 is about 59028.9794592453. The cubic root of 3484420416 is about 1516.0383353459.

The spelling of 3484420416 in words is "three billion, four hundred eighty-four million, four hundred twenty thousand, four hundred sixteen".