3282369792 has 288 divisors, whose sum is σ = 10124569728. Its totient is φ = 935067648.

The previous prime is 3282369791. The next prime is 3282369793. The reversal of 3282369792 is 2979632823.

It is an interprime number because it is at equal distance from previous prime (3282369791) and next prime (3282369793).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3282369791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14087308 + ... + 14087540.

It is an arithmetic number, because the mean of its divisors is an integer number (35154756).

Almost surely, 2^3282369792 is an apocalyptic number.

3282369792 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 3282369792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062284864).

3282369792 is an abundant number, since it is smaller than the sum of its proper divisors (6842199936).

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

3282369792 is a wasteful number, since it uses less digits than its factorization.

3282369792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 351 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The square root of 3282369792 is about 57291.9696990774. The cubic root of 3282369792 is about 1486.1495091237.

The spelling of 3282369792 in words is "three billion, two hundred eighty-two million, three hundred sixty-nine thousand, seven hundred ninety-two".