3883379760 has 200 divisors, whose sum is σ = 14525372400. Its totient is φ = 955888128.

The previous prime is 3883379749. The next prime is 3883379767. The reversal of 3883379760 is 679733883.

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

It is a junction number, because it is equal to n+sod(n) for n = 3883379697 and 3883379706.

It is not an unprimeable number, because it can be changed into a prime (3883379767) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61191 + ... + 107289.

It is an arithmetic number, because the mean of its divisors is an integer number (72626862).

Almost surely, 2^3883379760 is an apocalyptic number.

3883379760 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 3883379760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7262686200).

3883379760 is an abundant number, since it is smaller than the sum of its proper divisors (10641992640).

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

3883379760 is a wasteful number, since it uses less digits than its factorization.

3883379760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46137 (or 46122 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 3883379760 is about 62316.7694926494. The cubic root of 3883379760 is about 1571.8217267681.

The spelling of 3883379760 in words is "three billion, eight hundred eighty-three million, three hundred seventy-nine thousand, seven hundred sixty".