3648159840 has 192 divisors, whose sum is σ = 12516638400. Its totient is φ = 887783424.

The previous prime is 3648159833. The next prime is 3648159871. The reversal of 3648159840 is 489518463.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3648159840.

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, 552076 + ... + 558644.

It is an arithmetic number, because the mean of its divisors is an integer number (65190825).

Almost surely, 2^3648159840 is an apocalyptic number.

3648159840 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 3648159840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6258319200).

3648159840 is an abundant number, since it is smaller than the sum of its proper divisors (8868478560).

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

3648159840 is a wasteful number, since it uses less digits than its factorization.

3648159840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6689 (or 6681 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 3648159840 is about 60399.9986754967. The cubic root of 3648159840 is about 1539.4229355311.

The spelling of 3648159840 in words is "three billion, six hundred forty-eight million, one hundred fifty-nine thousand, eight hundred forty".