3875726400 has 672 divisors, whose sum is σ = 16508943360. Its totient is φ = 773038080.

The previous prime is 3875726399. The next prime is 3875726401. The reversal of 3875726400 is 46275783.

It is an interprime number because it is at equal distance from previous prime (3875726399) and next prime (3875726401).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3875726401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8298967 + ... + 8299433.

It is an arithmetic number, because the mean of its divisors is an integer number (24566880).

Almost surely, 2^3875726400 is an apocalyptic number.

3875726400 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 3875726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8254471680).

3875726400 is an abundant number, since it is smaller than the sum of its proper divisors (12633216960).

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

3875726400 is a wasteful number, since it uses less digits than its factorization.

3875726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 3875726400 is about 62255.3323017394. The cubic root of 3875726400 is about 1570.7884662531.

The spelling of 3875726400 in words is "three billion, eight hundred seventy-five million, seven hundred twenty-six thousand, four hundred".