3870009792 has 336 divisors, whose sum is σ = 12712842240. Its totient is φ = 1153405440.

The previous prime is 3870009757. The next prime is 3870009797. The reversal of 3870009792 is 2979000783.

3870009792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3870009797) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17354193 + ... + 17354415.

It is an arithmetic number, because the mean of its divisors is an integer number (37835840).

Almost surely, 2^3870009792 is an apocalyptic number.

3870009792 is a gapful number since it is divisible by the number (32) 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 3870009792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6356421120).

3870009792 is an abundant number, since it is smaller than the sum of its proper divisors (8842832448).

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

3870009792 is a wasteful number, since it uses less digits than its factorization.

3870009792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 3870009792 is about 62209.4027619620. The cubic root of 3870009792 is about 1570.0157938557.

The spelling of 3870009792 in words is "three billion, eight hundred seventy million, nine thousand, seven hundred ninety-two".