1634379264 has 240 divisors, whose sum is σ = 5627711232. Its totient is φ = 446459904.

The previous prime is 1634379247. The next prime is 1634379301. The reversal of 1634379264 is 4629734361.

1634379264 is a `hidden beast` number, since 1 + 634 + 3 + 7 + 9 + 2 + 6 + 4 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 740787 + ... + 742989.

Almost surely, 2^1634379264 is an apocalyptic number.

1634379264 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 1634379264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813855616).

1634379264 is an abundant number, since it is smaller than the sum of its proper divisors (3993331968).

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

1634379264 is a wasteful number, since it uses less digits than its factorization.

1634379264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2238 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 1634379264 is about 40427.4568084613. The cubic root of 1634379264 is about 1177.9249329785.

The spelling of 1634379264 in words is "one billion, six hundred thirty-four million, three hundred seventy-nine thousand, two hundred sixty-four".