4038967680 has 384 divisors, whose sum is σ = 14585184000. Its totient is φ = 942796800.

The previous prime is 4038967657. The next prime is 4038967727. The reversal of 4038967680 is 867698304.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20296221 + ... + 20296419.

It is an arithmetic number, because the mean of its divisors is an integer number (37982250).

Almost surely, 2^4038967680 is an apocalyptic number.

4038967680 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 4038967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7292592000).

4038967680 is an abundant number, since it is smaller than the sum of its proper divisors (10546216320).

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

4038967680 is a wasteful number, since it uses less digits than its factorization.

4038967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 4038967680 is about 63552.8731057849. The cubic root of 4038967680 is about 1592.5391808529.

The spelling of 4038967680 in words is "four billion, thirty-eight million, nine hundred sixty-seven thousand, six hundred eighty".