3870472320 has 768 divisors, whose sum is σ = 16253153280. Its totient is φ = 836075520.

The previous prime is 3870472313. The next prime is 3870472321. The reversal of 3870472320 is 232740783.

3870472320 is a `hidden beast` number, since 387 + 0 + 47 + 232 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3870472321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30476097 + ... + 30476223.

It is an arithmetic number, because the mean of its divisors is an integer number (21162960).

Almost surely, 2^3870472320 is an apocalyptic number.

3870472320 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 3870472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8126576640).

3870472320 is an abundant number, since it is smaller than the sum of its proper divisors (12382680960).

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

3870472320 is a wasteful number, since it uses less digits than its factorization.

3870472320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3870472320 is about 62213.1201596576. The cubic root of 3870472320 is about 1570.0783386878.

The spelling of 3870472320 in words is "three billion, eight hundred seventy million, four hundred seventy-two thousand, three hundred twenty".