4083208704 has 240 divisors, whose sum is σ = 12565320768. Its totient is φ = 1322790912.

The previous prime is 4083208697. The next prime is 4083208721. The reversal of 4083208704 is 4078023804.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4602949 + ... + 4603835.

Almost surely, 2^4083208704 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 4083208704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6282660384).

4083208704 is an abundant number, since it is smaller than the sum of its proper divisors (8482112064).

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

4083208704 is an frugal number, since it uses more digits than its factorization.

4083208704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4083208704 is about 63899.9898591541. The cubic root of 4083208704 is about 1598.3327299016.

The spelling of 4083208704 in words is "four billion, eighty-three million, two hundred eight thousand, seven hundred four".