3870470320920 has 1536 divisors, whose sum is σ = 16334526873600. Its totient is φ = 774531072000.

The previous prime is 3870470320901. The next prime is 3870470320949. The reversal of 3870470320920 is 290230740783.

3870470320920 is a `hidden beast` number, since 3 + 8 + 70 + 470 + 3 + 20 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3682654395 + ... + 3682655445.

It is an arithmetic number, because the mean of its divisors is an integer number (10634457600).

Almost surely, 2^{3870470320920} is an apocalyptic number.

3870470320920 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 3870470320920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8167263436800).

3870470320920 is an abundant number, since it is smaller than the sum of its proper divisors (12464056552680).

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

3870470320920 is a wasteful number, since it uses less digits than its factorization.

3870470320920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 3870470320920 in words is "three trillion, eight hundred seventy billion, four hundred seventy million, three hundred twenty thousand, nine hundred twenty".