3846009375 has 144 divisors (see below), whose sum is σ = 7637823648. Its totient is φ = 1853280000.

The previous prime is 3846009347. The next prime is 3846009379. The reversal of 3846009375 is 5739006483.

3846009375 is a `hidden beast` number, since 3 + 8 + 4 + 600 + 9 + 37 + 5 = 666.

It is not a de Polignac number, because 3846009375 - 2⁷ = 3846009247 is a prime.

It is a super-2 number, since 2×3846009375² = 29583576225175781250, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3846009375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3846009379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24496797 + ... + 24496953.

It is an arithmetic number, because the mean of its divisors is an integer number (53040442).

Almost surely, 2^3846009375 is an apocalyptic number.

3846009375 is a deficient number, since it is larger than the sum of its proper divisors (3791814273).

3846009375 is a wasteful number, since it uses less digits than its factorization.

3846009375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3846009375 is about 62016.2025199867. The cubic root of 3846009375 is about 1566.7635025150.

The spelling of 3846009375 in words is "three billion, eight hundred forty-six million, nine thousand, three hundred seventy-five".