378270432000 has 1152 divisors, whose sum is σ = 1493814067200. Its totient is φ = 94058496000.

The previous prime is 378270431989. The next prime is 378270432037. The reversal of 378270432000 is 234072873.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 776735757 + ... + 776736243.

It is an arithmetic number, because the mean of its divisors is an integer number (1296713600).

Almost surely, 2^378270432000 is an apocalyptic number.

378270432000 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 378270432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746907033600).

378270432000 is an abundant number, since it is smaller than the sum of its proper divisors (1115543635200).

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

378270432000 is a wasteful number, since it uses less digits than its factorization.

378270432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 378270432000 in words is "three hundred seventy-eight billion, two hundred seventy million, four hundred thirty-two thousand".