3938433408 has 384 divisors, whose sum is σ = 14569884000. Its totient is φ = 1038127104.

The previous prime is 3938433407. The next prime is 3938433427. The reversal of 3938433408 is 8043348393.

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

It is a super-2 number, since 2×3938433408² = 31022515418500988928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3938433407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2200578 + ... + 2202366.

Almost surely, 2^3938433408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3938433408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7284942000).

3938433408 is an abundant number, since it is smaller than the sum of its proper divisors (10631450592).

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

3938433408 is a wasteful number, since it uses less digits than its factorization.

3938433408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 3938433408 is about 62756.9391222995. The cubic root of 3938433408 is about 1579.2146671340.

The spelling of 3938433408 in words is "three billion, nine hundred thirty-eight million, four hundred thirty-three thousand, four hundred eight".