4034983680 has 576 divisors, whose sum is σ = 17636613120. Its totient is φ = 850673664.

The previous prime is 4034983669. The next prime is 4034983723. The reversal of 4034983680 is 863894304.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3144319 + ... + 3145601.

It is an arithmetic number, because the mean of its divisors is an integer number (30619120).

Almost surely, 2^4034983680 is an apocalyptic number.

4034983680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4034983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8818306560).

4034983680 is an abundant number, since it is smaller than the sum of its proper divisors (13601629440).

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

4034983680 is a wasteful number, since it uses less digits than its factorization.

4034983680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4034983680 is about 63521.5213923596. The cubic root of 4034983680 is about 1592.0153866681.

The spelling of 4034983680 in words is "four billion, thirty-four million, nine hundred eighty-three thousand, six hundred eighty".