3873649780 has 192 divisors, whose sum is σ = 10992683520. Its totient is φ = 1107302400.

The previous prime is 3873649777. The next prime is 3873649781. The reversal of 3873649780 is 879463783.

It is a super-3 number, since 3×3873649780³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3873649781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3623086 + ... + 3624154.

It is an arithmetic number, because the mean of its divisors is an integer number (57253560).

Almost surely, 2^3873649780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3873649780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496341760).

3873649780 is an abundant number, since it is smaller than the sum of its proper divisors (7119033740).

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

3873649780 is a wasteful number, since it uses less digits than its factorization.

3873649780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 55.

The square root of 3873649780 is about 62238.6518170180. The cubic root of 3873649780 is about 1570.5078725300.

The spelling of 3873649780 in words is "three billion, eight hundred seventy-three million, six hundred forty-nine thousand, seven hundred eighty".