3780301680 has 240 divisors, whose sum is σ = 13177906560. Its totient is φ = 970444800.

The previous prime is 3780301673. The next prime is 3780301741. The reversal of 3780301680 is 861030873.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2331270 + ... + 2332890.

It is an arithmetic number, because the mean of its divisors is an integer number (54907944).

Almost surely, 2^3780301680 is an apocalyptic number.

3780301680 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 3780301680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6588953280).

3780301680 is an abundant number, since it is smaller than the sum of its proper divisors (9397604880).

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

3780301680 is a wasteful number, since it uses less digits than its factorization.

3780301680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3780301680 is about 61484.1579595915. The cubic root of 3780301680 is about 1557.7896705011.

The spelling of 3780301680 in words is "three billion, seven hundred eighty million, three hundred one thousand, six hundred eighty".