3678676007148 has 96 divisors (see below), whose sum is σ = 10041109478400. Its totient is φ = 1161474510528.

The previous prime is 3678676007107. The next prime is 3678676007197. The reversal of 3678676007148 is 8417006768763.

It is a happy number.

3678676007148 is a `hidden beast` number, since 3 + 6 + 7 + 8 + 6 + 7 + 600 + 7 + 14 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11241661 + ... + 11564267.

It is an arithmetic number, because the mean of its divisors is an integer number (104594890400).

Almost surely, 2^{3678676007148} is an apocalyptic number.

3678676007148 is a gapful number since it is divisible by the number (38) 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 3678676007148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020554739200).

3678676007148 is an abundant number, since it is smaller than the sum of its proper divisors (6362433471252).

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

3678676007148 is a wasteful number, since it uses less digits than its factorization.

3678676007148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328196 (or 328188 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 3678676007148 in words is "three trillion, six hundred seventy-eight billion, six hundred seventy-six million, seven thousand, one hundred forty-eight".