3879797760 has 264 divisors, whose sum is σ = 13536483480. Its totient is φ = 1027473408.

The previous prime is 3879797699. The next prime is 3879797767. The reversal of 3879797760 is 677979783.

It can be written as a sum of positive squares in 4 ways, for example, as 325730304 + 3554067456 = 18048^2 + 59616^2 .

It is not an unprimeable number, because it can be changed into a prime (3879797767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12395364 + ... + 12395676.

Almost surely, 2^3879797760 is an apocalyptic number.

3879797760 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 3879797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768241740).

3879797760 is an abundant number, since it is smaller than the sum of its proper divisors (9656685720).

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

3879797760 is a wasteful number, since it uses less digits than its factorization.

3879797760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 28005264, while the sum is 63.

The square root of 3879797760 is about 62288.0226046710. The cubic root of 3879797760 is about 1571.3382992929.

The spelling of 3879797760 in words is "three billion, eight hundred seventy-nine million, seven hundred ninety-seven thousand, seven hundred sixty".