378361432350720 has 2688 divisors, whose sum is σ = 1758888736012800. Its totient is φ = 75128440356864.

The previous prime is 378361432350661. The next prime is 378361432350763. The reversal of 378361432350720 is 27053234163873.

378361432350720 is a `hidden beast` number, since 3 + 7 + 8 + 361 + 43 + 235 + 0 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29084583576 + ... + 29084596584.

It is an arithmetic number, because the mean of its divisors is an integer number (654348488100).

Almost surely, 2^{378361432350720} is an apocalyptic number.

378361432350720 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 378361432350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879444368006400).

378361432350720 is an abundant number, since it is smaller than the sum of its proper divisors (1380527303662080).

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

378361432350720 is a wasteful number, since it uses less digits than its factorization.

378361432350720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13103 (or 13056 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 378361432350720 in words is "three hundred seventy-eight trillion, three hundred sixty-one billion, four hundred thirty-two million, three hundred fifty thousand, seven hundred twenty".