3777608672 has 48 divisors (see below), whose sum is σ = 7799153040. Its totient is φ = 1798659072.

The previous prime is 3777608629. The next prime is 3777608687. The reversal of 3777608672 is 2768067773.

3777608672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39863 + ... + 95625.

It is an arithmetic number, because the mean of its divisors is an integer number (162482355).

Almost surely, 2^3777608672 is an apocalyptic number.

3777608672 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 3777608672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899576520).

3777608672 is an abundant number, since it is smaller than the sum of its proper divisors (4021544368).

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

3777608672 is a wasteful number, since it uses less digits than its factorization.

3777608672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55875 (or 55867 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 53.

The square root of 3777608672 is about 61462.2540426236. The cubic root of 3777608672 is about 1557.4196703467.

The spelling of 3777608672 in words is "three billion, seven hundred seventy-seven million, six hundred eight thousand, six hundred seventy-two".