3391282944 has 864 divisors, whose sum is σ = 13421721600. Its totient is φ = 836075520.

The previous prime is 3391282943. The next prime is 3391282957. The reversal of 3391282944 is 4492821933.

3391282944 is a `hidden beast` number, since 339 + 1 + 28 + 294 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3391282944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3391282943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109396209 + ... + 109396239.

It is an arithmetic number, because the mean of its divisors is an integer number (15534400).

Almost surely, 2^3391282944 is an apocalyptic number.

3391282944 is a gapful number since it is divisible by the number (34) 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 3391282944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6710860800).

3391282944 is an abundant number, since it is smaller than the sum of its proper divisors (10030438656).

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

3391282944 is a wasteful number, since it uses less digits than its factorization.

3391282944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 79 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 3391282944 is about 58234.7228378396. The cubic root of 3391282944 is about 1502.4084189425.

The spelling of 3391282944 in words is "three billion, three hundred ninety-one million, two hundred eighty-two thousand, nine hundred forty-four".