3201649152 has 160 divisors (see below), whose sum is σ = 9276072960. Its totient is φ = 975421440.

The previous prime is 3201649147. The next prime is 3201649153. The reversal of 3201649152 is 2519461023.

It is not an unprimeable number, because it can be changed into a prime (3201649153) 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, 2175777 + ... + 2177247.

It is an arithmetic number, because the mean of its divisors is an integer number (57975456).

Almost surely, 2^3201649152 is an apocalyptic number.

3201649152 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 3201649152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4638036480).

3201649152 is an abundant number, since it is smaller than the sum of its proper divisors (6074423808).

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

3201649152 is a wasteful number, since it uses less digits than its factorization.

3201649152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 3201649152 is about 56583.1171993908. The cubic root of 3201649152 is about 1473.8657029777.

The spelling of 3201649152 in words is "three billion, two hundred one million, six hundred forty-nine thousand, one hundred fifty-two".