3248562240 has 896 divisors, whose sum is σ = 15098572800. Its totient is φ = 637009920.

The previous prime is 3248562227. The next prime is 3248562241. The reversal of 3248562240 is 422658423.

3248562240 is a `hidden beast` number, since 3 + 24 + 8 + 5 + 622 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3248562195 and 3248562204.

It is not an unprimeable number, because it can be changed into a prime (3248562241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12640192 + ... + 12640448.

Almost surely, 2^3248562240 is an apocalyptic number.

3248562240 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 3248562240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7549286400).

3248562240 is an abundant number, since it is smaller than the sum of its proper divisors (11850010560).

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

3248562240 is a wasteful number, since it uses less digits than its factorization.

3248562240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 3248562240 is about 56996.1598706439. The cubic root of 3248562240 is about 1481.0295733525.

The spelling of 3248562240 in words is "three billion, two hundred forty-eight million, five hundred sixty-two thousand, two hundred forty".