378062942400 has 1344 divisors, whose sum is σ = 1704865881600. Its totient is φ = 80123904000.

The previous prime is 378062942363. The next prime is 378062942401. The reversal of 378062942400 is 4249260873.

It is a super-2 number, since 2×378062942400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (378062942401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117372790 + ... + 117376010.

It is an arithmetic number, because the mean of its divisors is an integer number (1268501400).

Almost surely, 2^378062942400 is an apocalyptic number.

378062942400 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 378062942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852432940800).

378062942400 is an abundant number, since it is smaller than the sum of its proper divisors (1326802939200).

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

378062942400 is a wasteful number, since it uses less digits than its factorization.

378062942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3295 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 378062942400 in words is "three hundred seventy-eight billion, sixty-two million, nine hundred forty-two thousand, four hundred".