3283038646272 has 1456 divisors, whose sum is σ = 12479435400960. Its totient is φ = 838464307200.

The previous prime is 3283038646213. The next prime is 3283038646331. The reversal of 3283038646272 is 2726468303823.

3283038646272 is a `hidden beast` number, since 3 + 2 + 8 + 3 + 0 + 3 + 8 + 6 + 4 + 627 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3283038646213) and next prime (3283038646331).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 25061363647 + ... + 25061363777.

Almost surely, 2^{3283038646272} is an apocalyptic number.

3283038646272 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 3283038646272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6239717700480).

3283038646272 is an abundant number, since it is smaller than the sum of its proper divisors (9196396754688).

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

3283038646272 is a wasteful number, since it uses less digits than its factorization.

3283038646272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 3283038646272 in words is "three trillion, two hundred eighty-three billion, thirty-eight million, six hundred forty-six thousand, two hundred seventy-two".