3248743680 has 576 divisors, whose sum is σ = 14202693120. Its totient is φ = 684785664.

The previous prime is 3248743643. The next prime is 3248743699. The reversal of 3248743680 is 863478423.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3144444 + ... + 3145476.

Almost surely, 2^3248743680 is an apocalyptic number.

3248743680 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 3248743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7101346560).

3248743680 is an abundant number, since it is smaller than the sum of its proper divisors (10953949440).

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

3248743680 is a wasteful number, since it uses less digits than its factorization.

3248743680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3248743680 is about 56997.7515346000. The cubic root of 3248743680 is about 1481.0571458583.

It can be divided in two parts, 3248743 and 680, that added together give a palindrome (3249423).

The spelling of 3248743680 in words is "three billion, two hundred forty-eight million, seven hundred forty-three thousand, six hundred eighty".