3978433536 has 352 divisors, whose sum is σ = 13425699840. Its totient is φ = 1025925120.

The previous prime is 3978433513. The next prime is 3978433559. The reversal of 3978433536 is 6353348793.

It is an interprime number because it is at equal distance from previous prime (3978433513) and next prime (3978433559).

It is a tau number, because it is divible by the number of its divisors (352).

Its product of digits (4898880) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28621755 + ... + 28621893.

Almost surely, 2^3978433536 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 3978433536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6712849920).

3978433536 is an abundant number, since it is smaller than the sum of its proper divisors (9447266304).

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

3978433536 is a wasteful number, since it uses less digits than its factorization.

3978433536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 162 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 51.

The square root of 3978433536 is about 63074.8248986868. The cubic root of 3978433536 is about 1584.5430236970.

The spelling of 3978433536 in words is "three billion, nine hundred seventy-eight million, four hundred thirty-three thousand, five hundred thirty-six".