3424149216 has 72 divisors (see below), whose sum is σ = 9752697864. Its totient is φ = 1139592960.

The previous prime is 3424149187. The next prime is 3424149221. The reversal of 3424149216 is 6129414243.

3424149216 is a `hidden beast` number, since 3 + 424 + 14 + 9 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

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, 181375 + ... + 199361.

It is an arithmetic number, because the mean of its divisors is an integer number (135454137).

Almost surely, 2^3424149216 is an apocalyptic number.

3424149216 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 3424149216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876348932).

3424149216 is an abundant number, since it is smaller than the sum of its proper divisors (6328548648).

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

3424149216 is a wasteful number, since it uses less digits than its factorization.

3424149216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18664 (or 18653 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3424149216 is about 58516.2303638914. The cubic root of 3424149216 is about 1507.2463030253.

The spelling of 3424149216 in words is "three billion, four hundred twenty-four million, one hundred forty-nine thousand, two hundred sixteen".