3870303360 has 512 divisors, whose sum is σ = 15736135680. Its totient is φ = 785694720.

The previous prime is 3870303347. The next prime is 3870303361. The reversal of 3870303360 is 633030783.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3870303361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6948202 + ... + 6948758.

It is an arithmetic number, because the mean of its divisors is an integer number (30734640).

Almost surely, 2^3870303360 is an apocalyptic number.

3870303360 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 3870303360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7868067840).

3870303360 is an abundant number, since it is smaller than the sum of its proper divisors (11865832320).

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

3870303360 is a wasteful number, since it uses less digits than its factorization.

3870303360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 3870303360 is about 62211.7622319124. The cubic root of 3870303360 is about 1570.0554918382.

The spelling of 3870303360 in words is "three billion, eight hundred seventy million, three hundred three thousand, three hundred sixty".