3938590656 has 1008 divisors, whose sum is σ = 16526694912. Its totient is φ = 903260160.

The previous prime is 3938590639. The next prime is 3938590661. The reversal of 3938590656 is 6560958393.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 171243061 + ... + 171243083.

Almost surely, 2^3938590656 is an apocalyptic number.

3938590656 is a gapful number since it is divisible by the number (36) 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 3938590656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8263347456).

3938590656 is an abundant number, since it is smaller than the sum of its proper divisors (12588104256).

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

3938590656 is a wasteful number, since it uses less digits than its factorization.

3938590656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The square root of 3938590656 is about 62758.1919433631. The cubic root of 3938590656 is about 1579.2356843776.

The spelling of 3938590656 in words is "three billion, nine hundred thirty-eight million, five hundred ninety thousand, six hundred fifty-six".