3875067000 has 768 divisors, whose sum is σ = 16325712000. Its totient is φ = 846720000.

The previous prime is 3875066983. The next prime is 3875067061. The reversal of 3875067000 is 7605783.

3875067000 is a `hidden beast` number, since 3 + 87 + 506 + 70 + 0 + 0 = 666.

It is a super-2 number, since 2×3875067000² = 30032288508978000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38366950 + ... + 38367050.

Almost surely, 2^3875067000 is an apocalyptic number.

3875067000 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 3875067000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8162856000).

3875067000 is an abundant number, since it is smaller than the sum of its proper divisors (12450645000).

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

3875067000 is a wasteful number, since it uses less digits than its factorization.

3875067000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 3875067000 is about 62250.0361445678. The cubic root of 3875067000 is about 1570.6993787243.

The spelling of 3875067000 in words is "three billion, eight hundred seventy-five million, sixty-seven thousand".