3779829144 has 512 divisors, whose sum is σ = 14112000000. Its totient is φ = 909232128.

The previous prime is 3779829121. The next prime is 3779829149. The reversal of 3779829144 is 4419289773.

3779829144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3048192) is a multiple of the sum of its prime factors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3779829149) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10830282 + ... + 10830630.

It is an arithmetic number, because the mean of its divisors is an integer number (27562500).

Almost surely, 2^3779829144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3779829144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056000000).

3779829144 is an abundant number, since it is smaller than the sum of its proper divisors (10332170856).

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

3779829144 is a wasteful number, since it uses less digits than its factorization.

3779829144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 422 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 3779829144 is about 61480.3150935322. The cubic root of 3779829144 is about 1557.7247601284.

The spelling of 3779829144 in words is "three billion, seven hundred seventy-nine million, eight hundred twenty-nine thousand, one hundred forty-four".