3434484420 has 144 divisors (see below), whose sum is σ = 10906721280. Its totient is φ = 873734400.

The previous prime is 3434484377. The next prime is 3434484421. The reversal of 3434484420 is 244844343.

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

It is not an unprimeable number, because it can be changed into a prime (3434484421) 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, 391846 + ... + 400514.

It is an arithmetic number, because the mean of its divisors is an integer number (75741120).

Almost surely, 2^3434484420 is an apocalyptic number.

3434484420 is a gapful number since it is divisible by the number (30) 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 3434484420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5453360640).

3434484420 is an abundant number, since it is smaller than the sum of its proper divisors (7472236860).

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

3434484420 is a wasteful number, since it uses less digits than its factorization.

3434484420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8786 (or 8781 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The square root of 3434484420 is about 58604.4744025574. The cubic root of 3434484420 is about 1508.7612342195.

The spelling of 3434484420 in words is "three billion, four hundred thirty-four million, four hundred eighty-four thousand, four hundred twenty".