3678164582400 has 3456 divisors, whose sum is σ = 17984565580800. Its totient is φ = 700710912000.

The previous prime is 3678164582383. The next prime is 3678164582429. The reversal of 3678164582400 is 42854618763.

It is a happy number.

3678164582400 is a `hidden beast` number, since 3 + 6 + 7 + 8 + 16 + 4 + 582 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 118650470385 + ... + 118650470415.

Almost surely, 2^{3678164582400} is an apocalyptic number.

3678164582400 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 3678164582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8992282790400).

3678164582400 is an abundant number, since it is smaller than the sum of its proper divisors (14306400998400).

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

3678164582400 is a wasteful number, since it uses less digits than its factorization.

3678164582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 3678164582400 in words is "three trillion, six hundred seventy-eight billion, one hundred sixty-four million, five hundred eighty-two thousand, four hundred".