378302829696 has 192 divisors, whose sum is σ = 1188060251040. Its totient is φ = 114589900800.

The previous prime is 378302829689. The next prime is 378302829701. The reversal of 378302829696 is 696928203873.

378302829696 is a `hidden beast` number, since 37 + 8 + 302 + 8 + 296 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×378302829696² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41977831 + ... + 41986841.

Almost surely, 2^378302829696 is an apocalyptic number.

378302829696 is a gapful number since it is divisible by the number (36) 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 378302829696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594030125520).

378302829696 is an abundant number, since it is smaller than the sum of its proper divisors (809757421344).

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

378302829696 is a wasteful number, since it uses less digits than its factorization.

378302829696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12355 (or 12340 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 378302829696 in words is "three hundred seventy-eight billion, three hundred two million, eight hundred twenty-nine thousand, six hundred ninety-six".