1634491872 has 576 divisors, whose sum is σ = 5855915520. Its totient is φ = 443418624.

The previous prime is 1634491871. The next prime is 1634491879. The reversal of 1634491872 is 2781944361.

1634491872 is a `hidden beast` number, since 1 + 634 + 4 + 9 + 1 + 8 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1634491871) 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, 44175438 + ... + 44175474.

It is an arithmetic number, because the mean of its divisors is an integer number (10166520).

Almost surely, 2^1634491872 is an apocalyptic number.

1634491872 is a gapful number since it is divisible by the number (12) 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 1634491872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927957760).

1634491872 is an abundant number, since it is smaller than the sum of its proper divisors (4221423648).

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

1634491872 is a wasteful number, since it uses less digits than its factorization.

1634491872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 97 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1634491872 is about 40428.8495013153. The cubic root of 1634491872 is about 1177.9519851909.

The spelling of 1634491872 in words is "one billion, six hundred thirty-four million, four hundred ninety-one thousand, eight hundred seventy-two".