3678861600 has 216 divisors, whose sum is σ = 13009018932. Its totient is φ = 978278400.

The previous prime is 3678861583. The next prime is 3678861601. The reversal of 3678861600 is 61688763.

3678861600 is a `hidden beast` number, since 36 + 7 + 8 + 8 + 6 + 1 + 600 = 666.

3678861600 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 6 ways, for example, as 957778704 + 2721082896 = 30948^2 + 52164^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3678861601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4758814 + ... + 4759586.

Almost surely, 2^3678861600 is an apocalyptic number.

3678861600 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 3678861600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6504509466).

3678861600 is an abundant number, since it is smaller than the sum of its proper divisors (9330157332).

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

3678861600 is a wasteful number, since it uses less digits than its factorization.

3678861600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3678861600 is about 60653.6198425123. The cubic root of 3678861600 is about 1543.7293099338.

The spelling of 3678861600 in words is "three billion, six hundred seventy-eight million, eight hundred sixty-one thousand, six hundred".