3629452024 has 64 divisors (see below), whose sum is σ = 7575120000. Its totient is φ = 1616334720.

The previous prime is 3629452019. The next prime is 3629452027. The reversal of 3629452024 is 4202549263.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3629452027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1811007 + ... + 1813009.

It is an arithmetic number, because the mean of its divisors is an integer number (118361250).

Almost surely, 2^3629452024 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 3629452024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3787560000).

3629452024 is an abundant number, since it is smaller than the sum of its proper divisors (3945667976).

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

3629452024 is a wasteful number, since it uses less digits than its factorization.

With its successor (3629452025) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2424).

With its successor (3629452025) it forms an eRAP, since the sums of their prime factors are consecutive (2428 and 2429).

3629452024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 3629452024 is about 60244.9335961125. The cubic root of 3629452024 is about 1536.7870304305.

The spelling of 3629452024 in words is "three billion, six hundred twenty-nine million, four hundred fifty-two thousand, twenty-four".