378972000 has 576 divisors, whose sum is σ = 1568548800. Its totient is φ = 88704000.

The previous prime is 378971977. The next prime is 378972001. The reversal of 378972000 is 279873.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378972001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13067986 + ... + 13068014.

It is an arithmetic number, because the mean of its divisors is an integer number (2723175).

Almost surely, 2^378972000 is an apocalyptic number.

378972000 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 378972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784274400).

378972000 is an abundant number, since it is smaller than the sum of its proper divisors (1189576800).

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

378972000 is a wasteful number, since it uses less digits than its factorization.

378972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 378972000 is about 19467.2031889535. The cubic root of 378972000 is about 723.6618996631.

The spelling of 378972000 in words is "three hundred seventy-eight million, nine hundred seventy-two thousand".