3870830748480 has 448 divisors, whose sum is σ = 12567942270720. Its totient is φ = 1009193844736.

The previous prime is 3870830748373. The next prime is 3870830748481. The reversal of 3870830748480 is 848470380783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3870830748481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4061731684 + ... + 4061732636.

Almost surely, 2^{3870830748480} is an apocalyptic number.

3870830748480 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 3870830748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283971135360).

3870830748480 is an abundant number, since it is smaller than the sum of its proper divisors (8697111522240).

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

3870830748480 is a wasteful number, since it uses less digits than its factorization.

3870830748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 60.

The spelling of 3870830748480 in words is "three trillion, eight hundred seventy billion, eight hundred thirty million, seven hundred forty-eight thousand, four hundred eighty".