634344720 has 80 divisors (see below), whose sum is σ = 1991420160. Its totient is φ = 167012352.

The previous prime is 634344679. The next prime is 634344721. The reversal of 634344720 is 27443436.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (634344721) 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, 2232 + ... + 35688.

It is an arithmetic number, because the mean of its divisors is an integer number (24892752).

Almost surely, 2^634344720 is an apocalyptic number.

634344720 is a gapful number since it is divisible by the number (60) 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 634344720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995710080).

634344720 is an abundant number, since it is smaller than the sum of its proper divisors (1357075440).

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

634344720 is a wasteful number, since it uses less digits than its factorization.

634344720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33552 (or 33546 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

The square root of 634344720 is about 25186.2009838721. The cubic root of 634344720 is about 859.2280435347.

The spelling of 634344720 in words is "six hundred thirty-four million, three hundred forty-four thousand, seven hundred twenty".