3780133056 has 448 divisors, whose sum is σ = 13904732160. Its totient is φ = 982056960.

The previous prime is 3780133033. The next prime is 3780133057. The reversal of 3780133056 is 6503310873.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3780133056.

It is not an unprimeable number, because it can be changed into a prime (3780133057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6374296 + ... + 6374888.

Almost surely, 2^3780133056 is an apocalyptic number.

3780133056 is a gapful number since it is divisible by the number (36) 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 3780133056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6952366080).

3780133056 is an abundant number, since it is smaller than the sum of its proper divisors (10124599104).

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

3780133056 is a wasteful number, since it uses less digits than its factorization.

3780133056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3780133056 is about 61482.7866642364. The cubic root of 3780133056 is about 1557.7665079201.

The spelling of 3780133056 in words is "three billion, seven hundred eighty million, one hundred thirty-three thousand, fifty-six".