2034635328 has 336 divisors, whose sum is σ = 6778020480. Its totient is φ = 597611520.

The previous prime is 2034635303. The next prime is 2034635329. The reversal of 2034635328 is 8235364302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2034635292 and 2034635301.

It is not an unprimeable number, because it can be changed into a prime (2034635329) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7736125 + ... + 7736387.

It is an arithmetic number, because the mean of its divisors is an integer number (20172680).

Almost surely, 2^2034635328 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 2034635328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3389010240).

2034635328 is an abundant number, since it is smaller than the sum of its proper divisors (4743385152).

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

2034635328 is a wasteful number, since it uses less digits than its factorization.

2034635328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2034635328 is about 45106.9321501696. The cubic root of 2034635328 is about 1267.1524287697.

The spelling of 2034635328 in words is "two billion, thirty-four million, six hundred thirty-five thousand, three hundred twenty-eight".