3984372960 has 384 divisors, whose sum is σ = 14457139200. Its totient is φ = 915701760.

The previous prime is 3984372949. The next prime is 3984372967. The reversal of 3984372960 is 692734893.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3984372967) 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, 4805826 + ... + 4806654.

It is an arithmetic number, because the mean of its divisors is an integer number (37648800).

Almost surely, 2^3984372960 is an apocalyptic number.

3984372960 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 3984372960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7228569600).

3984372960 is an abundant number, since it is smaller than the sum of its proper divisors (10472766240).

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

3984372960 is a wasteful number, since it uses less digits than its factorization.

3984372960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The square root of 3984372960 is about 63121.8897055530. The cubic root of 3984372960 is about 1585.3311557830.

The spelling of 3984372960 in words is "three billion, nine hundred eighty-four million, three hundred seventy-two thousand, nine hundred sixty".