3746663424 has 352 divisors, whose sum is σ = 12891187200. Its totient is φ = 1065996288.

The previous prime is 3746663411. The next prime is 3746663429. The reversal of 3746663424 is 4243666473.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3746663424.

It is not an unprimeable number, because it can be changed into a prime (3746663429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15676297 + ... + 15676535.

Almost surely, 2^3746663424 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 3746663424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6445593600).

3746663424 is an abundant number, since it is smaller than the sum of its proper divisors (9144523776).

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

3746663424 is an frugal number, since it uses more digits than its factorization.

3746663424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 251 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 45.

The square root of 3746663424 is about 61209.9944780262. The cubic root of 3746663424 is about 1553.1553376982.

The spelling of 3746663424 in words is "three billion, seven hundred forty-six million, six hundred sixty-three thousand, four hundred twenty-four".