3778164576 has 72 divisors (see below), whose sum is σ = 10759890960. Its totient is φ = 1257543936.

The previous prime is 3778164571. The next prime is 3778164583. The reversal of 3778164576 is 6754618773.

3778164576 is a `hidden beast` number, since 3 + 7 + 7 + 8 + 1 + 64 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3778164571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194941 + ... + 213443.

It is an arithmetic number, because the mean of its divisors is an integer number (149442930).

Almost surely, 2^3778164576 is an apocalyptic number.

3778164576 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 3778164576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5379945480).

3778164576 is an abundant number, since it is smaller than the sum of its proper divisors (6981726384).

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

3778164576 is a wasteful number, since it uses less digits than its factorization.

3778164576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19228 (or 19217 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The square root of 3778164576 is about 61466.7761965763. The cubic root of 3778164576 is about 1557.4960620038.

The spelling of 3778164576 in words is "three billion, seven hundred seventy-eight million, one hundred sixty-four thousand, five hundred seventy-six".