3984295032 has 288 divisors, whose sum is σ = 12085067280. Its totient is φ = 1184440320.

The previous prime is 3984295031. The next prime is 3984295099. The reversal of 3984295032 is 2305924893.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3984295031) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54579348 + ... + 54579420.

Almost surely, 2^3984295032 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 3984295032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6042533640).

3984295032 is an abundant number, since it is smaller than the sum of its proper divisors (8100772248).

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

3984295032 is a wasteful number, since it uses less digits than its factorization.

3984295032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 199 counting only the distinct ones).

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

The square root of 3984295032 is about 63121.2724206349. The cubic root of 3984295032 is about 1585.3208201967.

The spelling of 3984295032 in words is "three billion, nine hundred eighty-four million, two hundred ninety-five thousand, thirty-two".