3678882330816 has 672 divisors, whose sum is σ = 13438432051200. Its totient is φ = 934575667200.

The previous prime is 3678882330811. The next prime is 3678882330829. The reversal of 3678882330816 is 6180332888763.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3678882330811) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 399917385 + ... + 399926583.

Almost surely, 2^{3678882330816} is an apocalyptic number.

3678882330816 is a gapful number since it is divisible by the number (36) 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 3678882330816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6719216025600).

3678882330816 is an abundant number, since it is smaller than the sum of its proper divisors (9759549720384).

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

3678882330816 is a wasteful number, since it uses less digits than its factorization.

3678882330816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9433 (or 9420 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 3678882330816 in words is "three trillion, six hundred seventy-eight billion, eight hundred eighty-two million, three hundred thirty thousand, eight hundred sixteen".