3878772480 has 720 divisors, whose sum is σ = 16026595200. Its totient is φ = 885841920.

The previous prime is 3878772451. The next prime is 3878772539. The reversal of 3878772480 is 842778783.

It is a happy number.

3878772480 is a `hidden beast` number, since 3 + 87 + 87 + 7 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21669031 + ... + 21669209.

It is an arithmetic number, because the mean of its divisors is an integer number (22259160).

Almost surely, 2^3878772480 is an apocalyptic number.

3878772480 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 3878772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8013297600).

3878772480 is an abundant number, since it is smaller than the sum of its proper divisors (12147822720).

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

3878772480 is a wasteful number, since it uses less digits than its factorization.

3878772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The square root of 3878772480 is about 62279.7919071668. The cubic root of 3878772480 is about 1571.1998725186.

The spelling of 3878772480 in words is "three billion, eight hundred seventy-eight million, seven hundred seventy-two thousand, four hundred eighty".