3875300352 has 528 divisors, whose sum is σ = 14387822592. Its totient is φ = 975421440.

The previous prime is 3875300327. The next prime is 3875300357. The reversal of 3875300352 is 2530035783.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×3875300352² = 30035905636422647808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3875300357) 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, 30514113 + ... + 30514239.

It is an arithmetic number, because the mean of its divisors is an integer number (27249664).

Almost surely, 2^3875300352 is an apocalyptic number.

3875300352 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 3875300352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7193911296).

3875300352 is an abundant number, since it is smaller than the sum of its proper divisors (10512522240).

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

3875300352 is a wasteful number, since it uses less digits than its factorization.

3875300352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3875300352 is about 62251.9104285162. The cubic root of 3875300352 is about 1570.7309066510.

The spelling of 3875300352 in words is "three billion, eight hundred seventy-five million, three hundred thousand, three hundred fifty-two".