3678912468 has 288 divisors, whose sum is σ = 12739184640. Its totient is φ = 865624320.

The previous prime is 3678912467. The next prime is 3678912469. The reversal of 3678912468 is 8642198763.

It is an interprime number because it is at equal distance from previous prime (3678912467) and next prime (3678912469).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3678912463) 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, 1209846 + ... + 1212882.

It is an arithmetic number, because the mean of its divisors is an integer number (44233280).

Almost surely, 2^3678912468 is an apocalyptic number.

3678912468 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 3678912468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6369592320).

3678912468 is an abundant number, since it is smaller than the sum of its proper divisors (9060272172).

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

3678912468 is a wasteful number, since it uses less digits than its factorization.

3678912468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3102 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 3678912468 is about 60654.0391730015. The cubic root of 3678912468 is about 1543.7364250026.

The spelling of 3678912468 in words is "three billion, six hundred seventy-eight million, nine hundred twelve thousand, four hundred sixty-eight".