3248363520 has 384 divisors, whose sum is σ = 11950848000. Its totient is φ = 836075520.

The previous prime is 3248363513. The next prime is 3248363597. The reversal of 3248363520 is 253638423.

It is a happy number.

3248363520 is a `hidden beast` number, since 3 + 248 + 363 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8570691 + ... + 8571069.

It is an arithmetic number, because the mean of its divisors is an integer number (31122000).

Almost surely, 2^3248363520 is an apocalyptic number.

3248363520 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 3248363520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5975424000).

3248363520 is an abundant number, since it is smaller than the sum of its proper divisors (8702484480).

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

3248363520 is a wasteful number, since it uses less digits than its factorization.

3248363520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3248363520 is about 56994.4165686429. The cubic root of 3248363520 is about 1480.9993737158. Note that the first 3 decimals are identical.

The spelling of 3248363520 in words is "three billion, two hundred forty-eight million, three hundred sixty-three thousand, five hundred twenty".