3780668736 has 448 divisors, whose sum is σ = 12699187200. Its totient is φ = 1094860800.

The previous prime is 3780668719. The next prime is 3780668741. The reversal of 3780668736 is 6378660873.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42479380 + ... + 42479468.

It is an arithmetic number, because the mean of its divisors is an integer number (28346400).

Almost surely, 2^3780668736 is an apocalyptic number.

3780668736 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 3780668736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6349593600).

3780668736 is an abundant number, since it is smaller than the sum of its proper divisors (8918518464).

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

3780668736 is a wasteful number, since it uses less digits than its factorization.

3780668736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 3780668736 is about 61487.1428511685. The cubic root of 3780668736 is about 1557.8400877771.

The spelling of 3780668736 in words is "three billion, seven hundred eighty million, six hundred sixty-eight thousand, seven hundred thirty-six".