3648141504 has 672 divisors, whose sum is σ = 13633191936. Its totient is φ = 944317440.

The previous prime is 3648141487. The next prime is 3648141509. The reversal of 3648141504 is 4051418463.

3648141504 is a `hidden beast` number, since 3 + 6 + 4 + 8 + 141 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3648141509) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77620009 + ... + 77620055.

It is an arithmetic number, because the mean of its divisors is an integer number (20287488).

Almost surely, 2^3648141504 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 3648141504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6816595968).

3648141504 is an abundant number, since it is smaller than the sum of its proper divisors (9985050432).

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

3648141504 is a wasteful number, since it uses less digits than its factorization.

3648141504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3648141504 is about 60399.8468872231. The cubic root of 3648141504 is about 1539.4203564312.

Adding to 3648141504 its reverse (4051418463), we get a palindrome (7699559967).

The spelling of 3648141504 in words is "three billion, six hundred forty-eight million, one hundred forty-one thousand, five hundred four".