4084033980 has 192 divisors, whose sum is σ = 12712992768. Its totient is φ = 973286400.

The previous prime is 4084033973. The next prime is 4084034029. The reversal of 4084033980 is 893304804.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3702109 + ... + 3703211.

It is an arithmetic number, because the mean of its divisors is an integer number (66213504).

Almost surely, 2^4084033980 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 4084033980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6356496384).

4084033980 is an abundant number, since it is smaller than the sum of its proper divisors (8628958788).

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

4084033980 is a wasteful number, since it uses less digits than its factorization.

4084033980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 4084033980 is about 63906.4470926056. The cubic root of 4084033980 is about 1598.4404047623.

The spelling of 4084033980 in words is "four billion, eighty-four million, thirty-three thousand, nine hundred eighty".