3779381760 has 720 divisors, whose sum is σ = 15634811808. Its totient is φ = 775864320.

The previous prime is 3779381731. The next prime is 3779381773. The reversal of 3779381760 is 671839773.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45534679 + ... + 45534761.

Almost surely, 2^3779381760 is an apocalyptic number.

3779381760 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 3779381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7817405904).

3779381760 is an abundant number, since it is smaller than the sum of its proper divisors (11855430048).

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

3779381760 is a wasteful number, since it uses less digits than its factorization.

3779381760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 51.

The square root of 3779381760 is about 61476.6765529823. The cubic root of 3779381760 is about 1557.6632997991.

The spelling of 3779381760 in words is "three billion, seven hundred seventy-nine million, three hundred eighty-one thousand, seven hundred sixty".