3856977000 has 320 divisors, whose sum is σ = 14280449040. Its totient is φ = 967680000.

The previous prime is 3856976993. The next prime is 3856977011. The reversal of 3856977000 is 7796583.

It is a happy number.

3856977000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 411521796 + 3445455204 = 20286^2 + 58698^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1375600 + ... + 1378400.

Almost surely, 2^3856977000 is an apocalyptic number.

3856977000 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 3856977000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7140224520).

3856977000 is an abundant number, since it is smaller than the sum of its proper divisors (10423472040).

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

3856977000 is a wasteful number, since it uses less digits than its factorization.

3856977000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 3856977000 is about 62104.5650496000. The cubic root of 3856977000 is about 1568.2513968097.

The spelling of 3856977000 in words is "three billion, eight hundred fifty-six million, nine hundred seventy-seven thousand".