3938053680 has 320 divisors, whose sum is σ = 14945472000. Its totient is φ = 945146880.

The previous prime is 3938053667. The next prime is 3938053681. The reversal of 3938053680 is 863508393.

3938053680 is a `hidden beast` number, since 3 + 9 + 38 + 0 + 536 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3938053681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2541546 + ... + 2543094.

It is an arithmetic number, because the mean of its divisors is an integer number (46704600).

Almost surely, 2^3938053680 is an apocalyptic number.

3938053680 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 3938053680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7472736000).

3938053680 is an abundant number, since it is smaller than the sum of its proper divisors (11007418320).

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

3938053680 is a wasteful number, since it uses less digits than its factorization.

3938053680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3938053680 is about 62753.9136628147. The cubic root of 3938053680 is about 1579.1639116484.

The spelling of 3938053680 in words is "three billion, nine hundred thirty-eight million, fifty-three thousand, six hundred eighty".