396378684000 has 1728 divisors, whose sum is σ = 1675936604160. Its totient is φ = 91707033600.

The previous prime is 396378683999. The next prime is 396378684041. The reversal of 396378684000 is 486873693.

It is a super-2 number, since 2×396378684000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3121091937 + ... + 3121092063.

It is an arithmetic number, because the mean of its divisors is an integer number (969870720).

Almost surely, 2^396378684000 is an apocalyptic number.

396378684000 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 396378684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837968302080).

396378684000 is an abundant number, since it is smaller than the sum of its proper divisors (1279557920160).

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

396378684000 is a wasteful number, since it uses less digits than its factorization.

396378684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 396378684000 in words is "three hundred ninety-six billion, three hundred seventy-eight million, six hundred eighty-four thousand".