1634378240 has 160 divisors (see below), whose sum is σ = 4318009344. Its totient is φ = 588349440.

The previous prime is 1634378231. The next prime is 1634378243. The reversal of 1634378240 is 428734361.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 1634378194 and 1634378203.

It is not an unprimeable number, because it can be changed into a prime (1634378243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3576092 + ... + 3576548.

Almost surely, 2^1634378240 is an apocalyptic number.

1634378240 is a gapful number since it is divisible by the number (10) 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 1634378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159004672).

1634378240 is an abundant number, since it is smaller than the sum of its proper divisors (2683631104).

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

1634378240 is a wasteful number, since it uses less digits than its factorization.

1634378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 1634378240 is about 40427.4441437991. Note that the first 3 decimals coincide. The cubic root of 1634378240 is about 1177.9246869737.

The spelling of 1634378240 in words is "one billion, six hundred thirty-four million, three hundred seventy-eight thousand, two hundred forty".