3777411072 has 96 divisors (see below), whose sum is σ = 10508883840. Its totient is φ = 1204346880.

The previous prime is 3777411047. The next prime is 3777411073. The reversal of 3777411072 is 2701147773.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 3777411072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3777411073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127947 + ... + 154677.

It is an arithmetic number, because the mean of its divisors is an integer number (109467540).

Almost surely, 2^3777411072 is an apocalyptic number.

3777411072 is a gapful number since it is divisible by the number (32) 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 3777411072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5254441920).

3777411072 is an abundant number, since it is smaller than the sum of its proper divisors (6731472768).

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

3777411072 is a wasteful number, since it uses less digits than its factorization.

3777411072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26779 (or 26759 counting only the distinct ones).

The product of its (nonzero) digits is 57624, while the sum is 39.

The square root of 3777411072 is about 61460.6465309307. The cubic root of 3777411072 is about 1557.3925145876.

The spelling of 3777411072 in words is "three billion, seven hundred seventy-seven million, four hundred eleven thousand, seventy-two".