2338161408 has 162 divisors, whose sum is σ = 7410957372. Its totient is φ = 708449280.

The previous prime is 2338161403. The next prime is 2338161431. The reversal of 2338161408 is 8041618332.

2338161408 is a `hidden beast` number, since 2 + 3 + 38 + 1 + 614 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2338161403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 274591 + ... + 282977.

Almost surely, 2^2338161408 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 2338161408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705478686).

2338161408 is an abundant number, since it is smaller than the sum of its proper divisors (5072795964).

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

2338161408 is a wasteful number, since it uses less digits than its factorization.

2338161408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8431 (or 8403 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2338161408 is about 48354.5386494381. The cubic root of 2338161408 is about 1327.2665907312.

The spelling of 2338161408 in words is "two billion, three hundred thirty-eight million, one hundred sixty-one thousand, four hundred eight".