734638128 has 160 divisors (see below), whose sum is σ = 2239237632. Its totient is φ = 203212800.

The previous prime is 734638117. The next prime is 734638181. The reversal of 734638128 is 821836437.

It is a super-2 number, since 2×734638128² = 1079386358222688768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 734638128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1495963 + ... + 1496453.

Almost surely, 2^734638128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 734638128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119618816).

734638128 is an abundant number, since it is smaller than the sum of its proper divisors (1504599504).

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

734638128 is a wasteful number, since it uses less digits than its factorization.

734638128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 637 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 734638128 is about 27104.2086768826. The cubic root of 734638128 is about 902.3142612884.

The spelling of 734638128 in words is "seven hundred thirty-four million, six hundred thirty-eight thousand, one hundred twenty-eight".