1634801952 has 192 divisors, whose sum is σ = 5249664000. Its totient is φ = 435041280.

The previous prime is 1634801941. The next prime is 1634801963. The reversal of 1634801952 is 2591084361.

It is an interprime number because it is at equal distance from previous prime (1634801941) and next prime (1634801963).

It is a self number, because there is not a number n which added to its sum of digits gives 1634801952.

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 31 ways as a sum of consecutive naturals, for example, 777799 + ... + 779897.

It is an arithmetic number, because the mean of its divisors is an integer number (27342000).

Almost surely, 2^1634801952 is an apocalyptic number.

1634801952 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 1634801952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624832000).

1634801952 is an abundant number, since it is smaller than the sum of its proper divisors (3614862048).

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

1634801952 is a wasteful number, since it uses less digits than its factorization.

1634801952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 1634801952 is about 40432.6842047371. The cubic root of 1634801952 is about 1178.0264703693.

The spelling of 1634801952 in words is "one billion, six hundred thirty-four million, eight hundred one thousand, nine hundred fifty-two".