3875469600 has 432 divisors, whose sum is σ = 13964293728. Its totient is φ = 929832960.

The previous prime is 3875469599. The next prime is 3875469601. The reversal of 3875469600 is 69645783.

It is an interprime number because it is at equal distance from previous prime (3875469599) and next prime (3875469601).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3875469600.

It is not an unprimeable number, because it can be changed into a prime (3875469601) 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 71 ways as a sum of consecutive naturals, for example, 82456777 + ... + 82456823.

It is an arithmetic number, because the mean of its divisors is an integer number (32324754).

Almost surely, 2^3875469600 is an apocalyptic number.

3875469600 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 3875469600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6982146864).

3875469600 is an abundant number, since it is smaller than the sum of its proper divisors (10088824128).

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

3875469600 is a wasteful number, since it uses less digits than its factorization.

3875469600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 3875469600 is about 62253.2697936422. The cubic root of 3875469600 is about 1570.7537727663.

The spelling of 3875469600 in words is "three billion, eight hundred seventy-five million, four hundred sixty-nine thousand, six hundred".