378556416 has 260 divisors, whose sum is σ = 1300337632. Its totient is φ = 107495424.

The previous prime is 378556411. The next prime is 378556417. The reversal of 378556416 is 614655873.

378556416 is a `hidden beast` number, since 3 + 7 + 85 + 564 + 1 + 6 = 666.

Its product of digits (604800) is a multiple of the sum of its prime divisors (175).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378556411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2322351 + ... + 2322513.

Almost surely, 2^378556416 is an apocalyptic number.

378556416 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 378556416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650168816).

378556416 is an abundant number, since it is smaller than the sum of its proper divisors (921781216).

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

378556416 is an equidigital number, since it uses as much as digits as its factorization.

378556416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 175 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 378556416 is about 19456.5263086708. The cubic root of 378556416 is about 723.3972782608.

The spelling of 378556416 in words is "three hundred seventy-eight million, five hundred fifty-six thousand, four hundred sixteen".