3880515600 has 720 divisors, whose sum is σ = 15632041152. Its totient is φ = 918190080.

The previous prime is 3880515593. The next prime is 3880515631. The reversal of 3880515600 is 65150883.

3880515600 is a `hidden beast` number, since 3 + 8 + 80 + 515 + 60 + 0 = 666.

3880515600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46753159 + ... + 46753241.

Almost surely, 2^3880515600 is an apocalyptic number.

3880515600 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 3880515600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7816020576).

3880515600 is an abundant number, since it is smaller than the sum of its proper divisors (11751525552).

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

3880515600 is a wasteful number, since it uses less digits than its factorization.

3880515600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 3880515600 is about 62293.7846016760. The cubic root of 3880515600 is about 1571.4352029630.

The spelling of 3880515600 in words is "three billion, eight hundred eighty million, five hundred fifteen thousand, six hundred".