3648854088 has 256 divisors, whose sum is σ = 11746944000. Its totient is φ = 1037836800.

The previous prime is 3648854087. The next prime is 3648854089. The reversal of 3648854088 is 8804588463.

3648854088 is a `hidden beast` number, since 36 + 488 + 54 + 0 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (3648854087) and next prime (3648854089).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3648854087) 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, 5913556 + ... + 5914172.

It is an arithmetic number, because the mean of its divisors is an integer number (45886500).

Almost surely, 2^3648854088 is an apocalyptic number.

3648854088 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 3648854088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5873472000).

3648854088 is an abundant number, since it is smaller than the sum of its proper divisors (8098089912).

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

3648854088 is a wasteful number, since it uses less digits than its factorization.

3648854088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The square root of 3648854088 is about 60405.7454883225. The cubic root of 3648854088 is about 1539.5205805132.

The spelling of 3648854088 in words is "three billion, six hundred forty-eight million, eight hundred fifty-four thousand, eighty-eight".