3734416224 has 540 divisors, whose sum is σ = 14100750972. Its totient is φ = 969978240.

The previous prime is 3734416201. The next prime is 3734416241. The reversal of 3734416224 is 4226144373.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 339492379 + ... + 339492389.

Almost surely, 2^3734416224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3734416224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050375486).

3734416224 is an abundant number, since it is smaller than the sum of its proper divisors (10366334748).

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

3734416224 is an frugal number, since it uses more digits than its factorization.

3734416224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 23 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 3734416224 is about 61109.8701029547. The cubic root of 3734416224 is about 1551.4611575743.

The spelling of 3734416224 in words is "three billion, seven hundred thirty-four million, four hundred sixteen thousand, two hundred twenty-four".