3845947392 has 448 divisors, whose sum is σ = 13752912960. Its totient is φ = 1051066368.

The previous prime is 3845947381. The next prime is 3845947393. The reversal of 3845947392 is 2937495483.

3845947392 is a `hidden beast` number, since 3 + 84 + 5 + 9 + 473 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3845947392² = 29582622684063203328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (6531840) is a multiple of the sum of its prime divisors (35).

It is not an unprimeable number, because it can be changed into a prime (3845947393) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 167215093 + ... + 167215115.

Almost surely, 2^3845947392 is an apocalyptic number.

3845947392 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 3845947392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6876456480).

3845947392 is an abundant number, since it is smaller than the sum of its proper divisors (9906965568).

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

3845947392 is an frugal number, since it uses more digits than its factorization.

3845947392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 35 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 3845947392 is about 62015.7027856655. The cubic root of 3845947392 is about 1566.7550857195.

The spelling of 3845947392 in words is "three billion, eight hundred forty-five million, nine hundred forty-seven thousand, three hundred ninety-two".