3938368320 has 168 divisors, whose sum is σ = 13572804960. Its totient is φ = 1048181760.

The previous prime is 3938368307. The next prime is 3938368333. The reversal of 3938368320 is 238638393.

It is an interprime number because it is at equal distance from previous prime (3938368307) and next prime (3938368333).

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 23 ways as a sum of consecutive naturals, for example, 1989091 + ... + 1991069.

Almost surely, 2^3938368320 is an apocalyptic number.

3938368320 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 3938368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6786402480).

3938368320 is an abundant number, since it is smaller than the sum of its proper divisors (9634436640).

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

3938368320 is a wasteful number, since it uses less digits than its factorization.

3938368320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3938368320 is about 62756.4205480204. The cubic root of 3938368320 is about 1579.2059675252.

The spelling of 3938368320 in words is "three billion, nine hundred thirty-eight million, three hundred sixty-eight thousand, three hundred twenty".