1638013104 has 800 divisors, whose sum is σ = 6654574080. Its totient is φ = 376233984.

The previous prime is 1638013093. The next prime is 1638013109. The reversal of 1638013104 is 4013108361.

1638013104 is a `hidden beast` number, since 1 + 638 + 0 + 13 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1638013109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 38093307 + ... + 38093349.

Almost surely, 2^1638013104 is an apocalyptic number.

1638013104 is a gapful number since it is divisible by the number (14) 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 1638013104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327287040).

1638013104 is an abundant number, since it is smaller than the sum of its proper divisors (5016560976).

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

1638013104 is a wasteful number, since it uses less digits than its factorization.

1638013104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1638013104 is about 40472.3745782231. The cubic root of 1638013104 is about 1178.7972768787.

The spelling of 1638013104 in words is "one billion, six hundred thirty-eight million, thirteen thousand, one hundred four".