3637281648 has 640 divisors, whose sum is σ = 13763119104. Its totient is φ = 796262400.

The previous prime is 3637281647. The next prime is 3637281671. The reversal of 3637281648 is 8461827363.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3637281597 and 3637281606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3637281647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49825740 + ... + 49825812.

Almost surely, 2^3637281648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3637281648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6881559552).

3637281648 is an abundant number, since it is smaller than the sum of its proper divisors (10125837456).

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

3637281648 is a wasteful number, since it uses less digits than its factorization.

3637281648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 3637281648 is about 60309.8801855882. The cubic root of 3637281648 is about 1537.8913130751.

The spelling of 3637281648 in words is "three billion, six hundred thirty-seven million, two hundred eighty-one thousand, six hundred forty-eight".