3601639920 has 320 divisors, whose sum is σ = 12213504000. Its totient is φ = 875212800.

The previous prime is 3601639919. The next prime is 3601640027. The reversal of 3601639920 is 299361063.

It is a super-2 number, since 2×3601639920² = 25943620226675212800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23851845 + ... + 23851995.

It is an arithmetic number, because the mean of its divisors is an integer number (38167200).

Almost surely, 2^3601639920 is an apocalyptic number.

3601639920 is a gapful number since it is divisible by the number (30) 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 3601639920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106752000).

3601639920 is an abundant number, since it is smaller than the sum of its proper divisors (8611864080).

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

3601639920 is a wasteful number, since it uses less digits than its factorization.

3601639920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 3601639920 is about 60013.6644440247. The cubic root of 3601639920 is about 1532.8515491189.

The spelling of 3601639920 in words is "three billion, six hundred one million, six hundred thirty-nine thousand, nine hundred twenty".