378938729520 has 960 divisors, whose sum is σ = 1478109394944. Its totient is φ = 89624309760.

The previous prime is 378938729503. The next prime is 378938729527. The reversal of 378938729520 is 25927839873.

378938729520 is a `hidden beast` number, since 3 + 7 + 8 + 9 + 3 + 87 + 29 + 520 = 666.

It is not an unprimeable number, because it can be changed into a prime (378938729527) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 724547979 + ... + 724548501.

Almost surely, 2^378938729520 is an apocalyptic number.

378938729520 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 378938729520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739054697472).

378938729520 is an abundant number, since it is smaller than the sum of its proper divisors (1099170665424).

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

378938729520 is a wasteful number, since it uses less digits than its factorization.

378938729520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 378938729520 in words is "three hundred seventy-eight billion, nine hundred thirty-eight million, seven hundred twenty-nine thousand, five hundred twenty".