3629741616 has 120 divisors (see below), whose sum is σ = 10666184880. Its totient is φ = 1150668288.

The previous prime is 3629741597. The next prime is 3629741657. The reversal of 3629741616 is 6161479263.

3629741616 is a `hidden beast` number, since 3 + 6 + 29 + 7 + 4 + 1 + 616 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273306 + ... + 286278.

It is an arithmetic number, because the mean of its divisors is an integer number (88884874).

Almost surely, 2^3629741616 is an apocalyptic number.

3629741616 is a gapful number since it is divisible by the number (36) 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 3629741616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5333092440).

3629741616 is an abundant number, since it is smaller than the sum of its proper divisors (7036443264).

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

3629741616 is a wasteful number, since it uses less digits than its factorization.

3629741616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13083 (or 13074 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 3629741616 is about 60247.3370033896. The cubic root of 3629741616 is about 1536.8279024768.

The spelling of 3629741616 in words is "three billion, six hundred twenty-nine million, seven hundred forty-one thousand, six hundred sixteen".