378712438977600 has 8064 divisors, whose sum is σ = 1978431772262400. Its totient is φ = 68883067699200.

The previous prime is 378712438977577. The next prime is 378712438977629. The reversal of 378712438977600 is 6779834217873.

378712438977600 is a `hidden beast` number, since 3 + 7 + 8 + 7 + 1 + 2 + 4 + 3 + 8 + 9 + 7 + 7 + 600 = 666.

It is a super-2 number, since 2×378712438977600² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 354267949866 + ... + 354267950934.

It is an arithmetic number, because the mean of its divisors is an integer number (245341241600).

Almost surely, 2^{378712438977600} is an apocalyptic number.

378712438977600 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 378712438977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989215886131200).

378712438977600 is an abundant number, since it is smaller than the sum of its proper divisors (1599719333284800).

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

378712438977600 is a wasteful number, since it uses less digits than its factorization.

378712438977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 597445632, while the sum is 72.

The spelling of 378712438977600 in words is "three hundred seventy-eight trillion, seven hundred twelve billion, four hundred thirty-eight million, nine hundred seventy-seven thousand, six hundred".