1634341440 has 112 divisors (see below), whose sum is σ = 5197522752. Its totient is φ = 435111936.

The previous prime is 1634341409. The next prime is 1634341441. The reversal of 1634341440 is 441434361.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1634341398 and 1634341407.

It is not an unprimeable number, because it can be changed into a prime (1634341441) 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, 869782 + ... + 871658.

Almost surely, 2^1634341440 is an apocalyptic number.

1634341440 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 1634341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598761376).

1634341440 is an abundant number, since it is smaller than the sum of its proper divisors (3563181312).

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

1634341440 is a wasteful number, since it uses less digits than its factorization.

1634341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 1634341440 is about 40426.9890048715. The cubic root of 1634341440 is about 1177.9158461084.

The spelling of 1634341440 in words is "one billion, six hundred thirty-four million, three hundred forty-one thousand, four hundred forty".