2338204032 has 96 divisors (see below), whose sum is σ = 6763236480. Its totient is φ = 775369728.

The previous prime is 2338204027. The next prime is 2338204061. The reversal of 2338204032 is 2304028332.

2338204032 is a `hidden beast` number, since 233 + 8 + 20 + 403 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2338204032² = 10934396190522114048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2338203987 and 2338204005.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 221793 + ... + 232095.

It is an arithmetic number, because the mean of its divisors is an integer number (70450380).

Almost surely, 2^2338204032 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 2338204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381618240).

2338204032 is an abundant number, since it is smaller than the sum of its proper divisors (4425032448).

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

2338204032 is a wasteful number, since it uses less digits than its factorization.

2338204032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10520 (or 10505 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2338204032 is about 48354.9793919923. The cubic root of 2338204032 is about 1327.2746559097.

The spelling of 2338204032 in words is "two billion, three hundred thirty-eight million, two hundred four thousand, thirty-two".