3984780096 has 168 divisors, whose sum is σ = 12922020384. Its totient is φ = 1207457280.

The previous prime is 3984780091. The next prime is 3984780101. The reversal of 3984780096 is 6900874893.

It is an interprime number because it is at equal distance from previous prime (3984780091) and next prime (3984780101).

It is a super-3 number, since 3×3984780096³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3984780091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159426 + ... + 182718.

It is an arithmetic number, because the mean of its divisors is an integer number (76916788).

Almost surely, 2^3984780096 is an apocalyptic number.

3984780096 is a gapful number since it is divisible by the number (36) 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 3984780096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6461010192).

3984780096 is an abundant number, since it is smaller than the sum of its proper divisors (8937240288).

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

3984780096 is a wasteful number, since it uses less digits than its factorization.

3984780096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23331 (or 23309 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 3984780096 is about 63125.1146216781. The cubic root of 3984780096 is about 1585.3851520168.

The spelling of 3984780096 in words is "three billion, nine hundred eighty-four million, seven hundred eighty thousand, ninety-six".