3648519936 has 180 divisors, whose sum is σ = 10938151224. Its totient is φ = 1209600000.

The previous prime is 3648519913. The next prime is 3648519937. The reversal of 3648519936 is 6399158463.

3648519936 is a `hidden beast` number, since 36 + 4 + 8 + 519 + 93 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3648519937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5204386 + ... + 5205086.

Almost surely, 2^3648519936 is an apocalyptic number.

3648519936 is a gapful number since it is divisible by the number (36) 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 3648519936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5469075612).

3648519936 is an abundant number, since it is smaller than the sum of its proper divisors (7289631288).

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

3648519936 is an equidigital number, since it uses as much as digits as its factorization.

3648519936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 957 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 3648519936 is about 60402.9795291590. The cubic root of 3648519936 is about 1539.4735840614.

The spelling of 3648519936 in words is "three billion, six hundred forty-eight million, five hundred nineteen thousand, nine hundred thirty-six".