3778164000 has 864 divisors, whose sum is σ = 15711905664. Its totient is φ = 889574400.

The previous prime is 3778163999. The next prime is 3778164001. The reversal of 3778164000 is 4618773.

3778164000 is a `hidden beast` number, since 3 + 7 + 7 + 8 + 1 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3778163999) and next prime (3778164001).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3778164001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 164267989 + ... + 164268011.

It is an arithmetic number, because the mean of its divisors is an integer number (18185076).

Almost surely, 2^3778164000 is an apocalyptic number.

3778164000 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 3778164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7855952832).

3778164000 is an abundant number, since it is smaller than the sum of its proper divisors (11933741664).

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

3778164000 is a wasteful number, since it uses less digits than its factorization.

3778164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 3778164000 is about 61466.7715111181. The cubic root of 3778164000 is about 1557.4959828544.

The spelling of 3778164000 in words is "three billion, seven hundred seventy-eight million, one hundred sixty-four thousand".