3778146216 has 192 divisors, whose sum is σ = 11477466000. Its totient is φ = 1114767360.

The previous prime is 3778146137. The next prime is 3778146259. The reversal of 3778146216 is 6126418773.

3778146216 is a `hidden beast` number, since 3 + 7 + 7 + 8 + 14 + 621 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 160123716 + 3618022500 = 12654^2 + 60150^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4912680 + ... + 4913448.

Almost surely, 2^3778146216 is an apocalyptic number.

3778146216 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 3778146216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5738733000).

3778146216 is an abundant number, since it is smaller than the sum of its proper divisors (7699319784).

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

3778146216 is a wasteful number, since it uses less digits than its factorization.

3778146216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 997 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 3778146216 is about 61466.6268474202. The cubic root of 3778146216 is about 1557.4935391144.

The spelling of 3778146216 in words is "three billion, seven hundred seventy-eight million, one hundred forty-six thousand, two hundred sixteen".