3283747260248 has 512 divisors, whose sum is σ = 8364935577600. Its totient is φ = 1172016857088.

The previous prime is 3283747260247. The next prime is 3283747260271. The reversal of 3283747260248 is 8420627473823.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 3283747260193 and 3283747260202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3283747260247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7092326465 + ... + 7092326927.

It is an arithmetic number, because the mean of its divisors is an integer number (16337764800).

Almost surely, 2^{3283747260248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3283747260248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182467788800).

3283747260248 is an abundant number, since it is smaller than the sum of its proper divisors (5081188317352).

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

3283747260248 is a wasteful number, since it uses less digits than its factorization.

3283747260248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 56.

The spelling of 3283747260248 in words is "three trillion, two hundred eighty-three billion, seven hundred forty-seven million, two hundred sixty thousand, two hundred forty-eight".