3875942400 has 624 divisors, whose sum is σ = 14820860928. Its totient is φ = 884736000.

The previous prime is 3875942381. The next prime is 3875942491. The reversal of 3875942400 is 42495783.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104755182 + ... + 104755218.

Almost surely, 2^3875942400 is an apocalyptic number.

3875942400 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 3875942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7410430464).

3875942400 is an abundant number, since it is smaller than the sum of its proper divisors (10944918528).

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

3875942400 is a wasteful number, since it uses less digits than its factorization.

3875942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 3875942400 is about 62257.0670687272. The cubic root of 3875942400 is about 1570.8176465039.

The spelling of 3875942400 in words is "three billion, eight hundred seventy-five million, nine hundred forty-two thousand, four hundred".