378342256577076 has 72 divisors (see below), whose sum is σ = 1043501327957088. Its totient is φ = 114627861720000.

The previous prime is 378342256577063. The next prime is 378342256577093. The reversal of 378342256577076 is 670775652243873.

378342256577076 is a `hidden beast` number, since 3 + 7 + 8 + 3 + 42 + 2 + 5 + 6 + 577 + 0 + 7 + 6 = 666.

It is a super-2 number, since 2×378342256577076² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 378342256576995 and 378342256577013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86645350 + ... + 90907101.

It is an arithmetic number, because the mean of its divisors is an integer number (14493073999404).

Almost surely, 2^{378342256577076} is an apocalyptic number.

378342256577076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

378342256577076 is an abundant number, since it is smaller than the sum of its proper divisors (665159071380012).

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

378342256577076 is a wasteful number, since it uses less digits than its factorization.

378342256577076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177557853 (or 177557848 counting only the distinct ones).

The product of its (nonzero) digits is 2489356800, while the sum is 72.

The spelling of 378342256577076 in words is "three hundred seventy-eight trillion, three hundred forty-two billion, two hundred fifty-six million, five hundred seventy-seven thousand, seventy-six".