1634241816 has 144 divisors (see below), whose sum is σ = 4681764360. Its totient is φ = 514905600.

The previous prime is 1634241811. The next prime is 1634241827. The reversal of 1634241816 is 6181424361.

1634241816 is a `hidden beast` number, since 1 + 634 + 2 + 4 + 1 + 8 + 16 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1634241811) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4075216 + ... + 4075616.

Almost surely, 2^1634241816 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 1634241816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340882180).

1634241816 is an abundant number, since it is smaller than the sum of its proper divisors (3047522544).

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

1634241816 is a wasteful number, since it uses less digits than its factorization.

1634241816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 536 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1634241816 is about 40425.7568389263. The cubic root of 1634241816 is about 1177.8919116824.

The spelling of 1634241816 in words is "one billion, six hundred thirty-four million, two hundred forty-one thousand, eight hundred sixteen".