378538868332800 has 2592 divisors, whose sum is σ = 1647900187637760. Its totient is φ = 84759246028800.

The previous prime is 378538868332783. The next prime is 378538868332817. The reversal of 378538868332800 is 8233868835873.

378538868332800 is a `hidden beast` number, since 3 + 7 + 8 + 538 + 8 + 6 + 8 + 3 + 3 + 2 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (378538868332783) and next prime (378538868332817).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 97990903669 + ... + 97990907531.

It is an arithmetic number, because the mean of its divisors is an integer number (635763961280).

Almost surely, 2^{378538868332800} is an apocalyptic number.

378538868332800 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 378538868332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823950093818880).

378538868332800 is an abundant number, since it is smaller than the sum of its proper divisors (1269361319304960).

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

378538868332800 is a wasteful number, since it uses less digits than its factorization.

378538868332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4146 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 378538868332800 in words is "three hundred seventy-eight trillion, five hundred thirty-eight billion, eight hundred sixty-eight million, three hundred thirty-two thousand, eight hundred".