1634379768 has 320 divisors, whose sum is σ = 5519923200. Its totient is φ = 441987840.

The previous prime is 1634379731. The next prime is 1634379787. The reversal of 1634379768 is 8679734361.

1634379768 is a `hidden beast` number, since 1 + 63 + 437 + 97 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8296246 + ... + 8296442.

It is an arithmetic number, because the mean of its divisors is an integer number (17249760).

Almost surely, 2^1634379768 is an apocalyptic number.

1634379768 is a gapful number since it is divisible by the number (18) 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 1634379768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759961600).

1634379768 is an abundant number, since it is smaller than the sum of its proper divisors (3885543432).

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

1634379768 is a wasteful number, since it uses less digits than its factorization.

1634379768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 299 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 1634379768 is about 40427.4630418482. The cubic root of 1634379768 is about 1177.9250540590.

The spelling of 1634379768 in words is "one billion, six hundred thirty-four million, three hundred seventy-nine thousand, seven hundred sixty-eight".