3624346944 has 168 divisors, whose sum is σ = 10829186368. Its totient is φ = 1201858560.

The previous prime is 3624346939. The next prime is 3624346963. The reversal of 3624346944 is 4496434263.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3624346944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3747549 + ... + 3748515.

Almost surely, 2^3624346944 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 3624346944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5414593184).

3624346944 is an abundant number, since it is smaller than the sum of its proper divisors (7204839424).

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

3624346944 is an equidigital number, since it uses as much as digits as its factorization.

3624346944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1213 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

The square root of 3624346944 is about 60202.5493147923. The cubic root of 3624346944 is about 1536.0661592597.

The spelling of 3624346944 in words is "three billion, six hundred twenty-four million, three hundred forty-six thousand, nine hundred forty-four".