3283143272640 has 672 divisors, whose sum is σ = 14691301088256. Its totient is φ = 652549201920.

The previous prime is 3283143272639. The next prime is 3283143272653. The reversal of 3283143272640 is 462723413823.

3283143272640 is a `hidden beast` number, since 3 + 2 + 8 + 314 + 3 + 272 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4778634 + ... + 5422326.

Almost surely, 2^{3283143272640} is an apocalyptic number.

3283143272640 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 3283143272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7345650544128).

3283143272640 is an abundant number, since it is smaller than the sum of its proper divisors (11408157815616).

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

3283143272640 is a wasteful number, since it uses less digits than its factorization.

3283143272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643757 (or 643744 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

It can be divided in two parts, 32831 and 43272640, that added together give a triangular number (43305471 = T₉₃₀₆).

The spelling of 3283143272640 in words is "three trillion, two hundred eighty-three billion, one hundred forty-three million, two hundred seventy-two thousand, six hundred forty".