3229601760 has 1152 divisors, whose sum is σ = 15306278400. Its totient is φ = 627056640.

The previous prime is 3229601759. The next prime is 3229601761. The reversal of 3229601760 is 671069223.

It is an interprime number because it is at equal distance from previous prime (3229601759) and next prime (3229601761).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3229601761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44241084 + ... + 44241156.

It is an arithmetic number, because the mean of its divisors is an integer number (13286700).

Almost surely, 2^3229601760 is an apocalyptic number.

3229601760 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 3229601760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7653139200).

3229601760 is an abundant number, since it is smaller than the sum of its proper divisors (12076676640).

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

3229601760 is a wasteful number, since it uses less digits than its factorization.

3229601760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3229601760 is about 56829.5852527537. The cubic root of 3229601760 is about 1478.1425688129.

The spelling of 3229601760 in words is "three billion, two hundred twenty-nine million, six hundred one thousand, seven hundred sixty".