3248629440 has 168 divisors, whose sum is σ = 11998555632. Its totient is φ = 742533120.

The previous prime is 3248629427. The next prime is 3248629441. The reversal of 3248629440 is 449268423.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3248629392 and 3248629401.

It is not an unprimeable number, because it can be changed into a prime (3248629441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12510 + ... + 81570.

It is an arithmetic number, because the mean of its divisors is an integer number (71419974).

Almost surely, 2^3248629440 is an apocalyptic number.

3248629440 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 3248629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999277816).

3248629440 is an abundant number, since it is smaller than the sum of its proper divisors (8749926192).

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

3248629440 is a wasteful number, since it uses less digits than its factorization.

3248629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69095 (or 69078 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 3248629440 is about 56996.7493809954. The cubic root of 3248629440 is about 1481.0397855114.

The spelling of 3248629440 in words is "three billion, two hundred forty-eight million, six hundred twenty-nine thousand, four hundred forty".