3870357120 has 512 divisors, whose sum is σ = 16009920000. Its totient is φ = 883298304.

The previous prime is 3870357119. The next prime is 3870357187. The reversal of 3870357120 is 217530783.

3870357120 is a `hidden beast` number, since 3 + 87 + 0 + 3 + 571 + 2 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 5926714 + ... + 5927366.

It is an arithmetic number, because the mean of its divisors is an integer number (31269375).

Almost surely, 2^3870357120 is an apocalyptic number.

3870357120 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 3870357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8004960000).

3870357120 is an abundant number, since it is smaller than the sum of its proper divisors (12139562880).

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

3870357120 is an equidigital number, since it uses as much as digits as its factorization.

3870357120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 3870357120 is about 62212.1943030464. The cubic root of 3870357120 is about 1570.0627613625.

The spelling of 3870357120 in words is "three billion, eight hundred seventy million, three hundred fifty-seven thousand, one hundred twenty".