378925747200 has 3168 divisors, whose sum is σ = 1915869376512. Its totient is φ = 69009408000.

The previous prime is 378925747199. The next prime is 378925747217. The reversal of 378925747200 is 2747529873.

378925747200 is a `hidden beast` number, since 37 + 8 + 92 + 57 + 472 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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, 7149542374 + ... + 7149542426.

Almost surely, 2^378925747200 is an apocalyptic number.

378925747200 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 378925747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957934688256).

378925747200 is an abundant number, since it is smaller than the sum of its proper divisors (1536943629312).

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

378925747200 is a wasteful number, since it uses less digits than its factorization.

378925747200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 378925747200 in words is "three hundred seventy-eight billion, nine hundred twenty-five million, seven hundred forty-seven thousand, two hundred".