3484348416 has 156 divisors (see below), whose sum is σ = 10392740800. Its totient is φ = 1123614720.

The previous prime is 3484348379. The next prime is 3484348429. The reversal of 3484348416 is 6148434843.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1141260 + ... + 1144308.

Almost surely, 2^3484348416 is an apocalyptic number.

3484348416 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 3484348416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5196370400).

3484348416 is an abundant number, since it is smaller than the sum of its proper divisors (6908392384).

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

3484348416 is a wasteful number, since it uses less digits than its factorization.

3484348416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110 (or 3085 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 3484348416 is about 59028.3695861575. The cubic root of 3484348416 is about 1516.0278931012.

The spelling of 3484348416 in words is "three billion, four hundred eighty-four million, three hundred forty-eight thousand, four hundred sixteen".