3240978048 has 512 divisors, whose sum is σ = 12572928000. Its totient is φ = 796262400.

The previous prime is 3240978043. The next prime is 3240978113. The reversal of 3240978048 is 8408790423.

It is a super-4 number, since 4×3240978048⁴ (a number of 39 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3240977994 and 3240978012.

It is not an unprimeable number, because it can be changed into a prime (3240978043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5055808 + ... + 5056448.

It is an arithmetic number, because the mean of its divisors is an integer number (24556500).

Almost surely, 2^3240978048 is an apocalyptic number.

3240978048 is a gapful number since it is divisible by the number (38) 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 3240978048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286464000).

3240978048 is an abundant number, since it is smaller than the sum of its proper divisors (9331949952).

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

3240978048 is a wasteful number, since it uses less digits than its factorization.

3240978048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3240978048 is about 56929.5885107209. The cubic root of 3240978048 is about 1479.8761230624.

The spelling of 3240978048 in words is "three billion, two hundred forty million, nine hundred seventy-eight thousand, forty-eight".