3276933120 has 432 divisors, whose sum is σ = 12052616940. Its totient is φ = 822804480.

The previous prime is 3276933113. The next prime is 3276933133. The reversal of 3276933120 is 213396723.

It can be written as a sum of positive squares in 2 ways, for example, as 3197223936 + 79709184 = 56544^2 + 8928^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88565742 + ... + 88565778.

Almost surely, 2^3276933120 is an apocalyptic number.

3276933120 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 3276933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026308470).

3276933120 is an abundant number, since it is smaller than the sum of its proper divisors (8775683820).

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

3276933120 is a wasteful number, since it uses less digits than its factorization.

3276933120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3276933120 is about 57244.5029675339. The cubic root of 3276933120 is about 1485.3285400353.

It can be divided in two parts, 3276 and 933120, that added together give a triangular number (936396 = T₁₃₆₈).

The spelling of 3276933120 in words is "three billion, two hundred seventy-six million, nine hundred thirty-three thousand, one hundred twenty".