3916788480 has 288 divisors, whose sum is σ = 15164190720. Its totient is φ = 949432320.

The previous prime is 3916788461. The next prime is 3916788481. The reversal of 3916788480 is 848876193.

3916788480 is a `hidden beast` number, since 3 + 91 + 6 + 78 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (3916788481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375009 + ... + 385311.

It is an arithmetic number, because the mean of its divisors is an integer number (52653440).

Almost surely, 2^3916788480 is an apocalyptic number.

3916788480 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 3916788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7582095360).

3916788480 is an abundant number, since it is smaller than the sum of its proper divisors (11247402240).

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

3916788480 is a wasteful number, since it uses less digits than its factorization.

3916788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10344 (or 10324 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 3916788480 is about 62584.2510540791. The cubic root of 3916788480 is about 1576.3163235979.

The spelling of 3916788480 in words is "three billion, nine hundred sixteen million, seven hundred eighty-eight thousand, four hundred eighty".