3629035872 has 864 divisors, whose sum is σ = 14639788800. Its totient is φ = 862202880.

The previous prime is 3629035871. The next prime is 3629035873. The reversal of 3629035872 is 2785309263.

3629035872 is a `hidden beast` number, since 3 + 6 + 290 + 358 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3629035871) and next prime (3629035873).

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3629035871) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 125139154 + ... + 125139182.

It is an arithmetic number, because the mean of its divisors is an integer number (16944200).

Almost surely, 2^3629035872 is an apocalyptic number.

3629035872 is a gapful number since it is divisible by the number (32) 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 3629035872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7319894400).

3629035872 is an abundant number, since it is smaller than the sum of its proper divisors (11010752928).

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

3629035872 is a wasteful number, since it uses less digits than its factorization.

3629035872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3629035872 is about 60241.4796631026. The cubic root of 3629035872 is about 1536.7282923219.

The spelling of 3629035872 in words is "three billion, six hundred twenty-nine million, thirty-five thousand, eight hundred seventy-two".