3938629680 has 120 divisors (see below), whose sum is σ = 13243250592. Its totient is φ = 1049029632.

The previous prime is 3938629679. The next prime is 3938629727. The reversal of 3938629680 is 869268393.

3938629680 is a `hidden beast` number, since 3 + 9 + 3 + 8 + 629 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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, 693412 + ... + 699068.

Almost surely, 2^3938629680 is an apocalyptic number.

3938629680 is a gapful number since it is divisible by the number (30) 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 3938629680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6621625296).

3938629680 is an abundant number, since it is smaller than the sum of its proper divisors (9304620912).

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

3938629680 is a wasteful number, since it uses less digits than its factorization.

3938629680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6643 (or 6634 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 3938629680 is about 62758.5028502115. The cubic root of 3938629680 is about 1579.2409001088.

The spelling of 3938629680 in words is "three billion, nine hundred thirty-eight million, six hundred twenty-nine thousand, six hundred eighty".