378995139072 has 360 divisors, whose sum is σ = 1206447670428. Its totient is φ = 114449448960.

The previous prime is 378995139037. The next prime is 378995139073. The reversal of 378995139072 is 270931599873.

378995139072 is a `hidden beast` number, since 37 + 89 + 9 + 513 + 9 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 377074596096 + 1920542976 = 614064^2 + 43824^2 .

It is not an unprimeable number, because it can be changed into a prime (378995139073) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187899408 + ... + 187901424.

Almost surely, 2^378995139072 is an apocalyptic number.

378995139072 is a gapful number since it is divisible by the number (32) 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 378995139072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603223835214).

378995139072 is an abundant number, since it is smaller than the sum of its proper divisors (827452531356).

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

378995139072 is a wasteful number, since it uses less digits than its factorization.

378995139072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 378995139072 in words is "three hundred seventy-eight billion, nine hundred ninety-five million, one hundred thirty-nine thousand, seventy-two".