3648248640 has 448 divisors, whose sum is σ = 13588715520. Its totient is φ = 920125440.

The previous prime is 3648248623. The next prime is 3648248683. The reversal of 3648248640 is 468428463.

3648248640 is a `hidden beast` number, since 364 + 8 + 248 + 6 + 40 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14195392 + ... + 14195648.

Almost surely, 2^3648248640 is an apocalyptic number.

3648248640 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 3648248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6794357760).

3648248640 is an abundant number, since it is smaller than the sum of its proper divisors (9940466880).

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

3648248640 is a wasteful number, since it uses less digits than its factorization.

3648248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 3648248640 is about 60400.7337703773. The cubic root of 3648248640 is about 1539.4354258142.

The spelling of 3648248640 in words is "three billion, six hundred forty-eight million, two hundred forty-eight thousand, six hundred forty".