3867953148 has 240 divisors, whose sum is σ = 10969964544. Its totient is φ = 1185528960.

The previous prime is 3867953147. The next prime is 3867953153. The reversal of 3867953148 is 8413597683.

3867953148 is a `hidden beast` number, since 3 + 8 + 67 + 9 + 531 + 48 = 666.

It is a super-3 number, since 3×3867953148³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3867953094 and 3867953103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3867953147) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30456261 + ... + 30456387.

Almost surely, 2^3867953148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3867953148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5484982272).

3867953148 is an abundant number, since it is smaller than the sum of its proper divisors (7102011396).

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

3867953148 is a wasteful number, since it uses less digits than its factorization.

3867953148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 283 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 3867953148 is about 62192.8705560372. The cubic root of 3867953148 is about 1569.7376261081.

The spelling of 3867953148 in words is "three billion, eight hundred sixty-seven million, nine hundred fifty-three thousand, one hundred forty-eight".