3835877760 has 384 divisors, whose sum is σ = 15564800160. Its totient is φ = 858193920.

The previous prime is 3835877753. The next prime is 3835877767. The reversal of 3835877760 is 677785383.

It is an interprime number because it is at equal distance from previous prime (3835877753) and next prime (3835877767).

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 3835877697 and 3835877706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3835877767) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 821352 + ... + 826008.

Almost surely, 2^3835877760 is an apocalyptic number.

3835877760 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 3835877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7782400080).

3835877760 is an abundant number, since it is smaller than the sum of its proper divisors (11728922400).

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

3835877760 is a wasteful number, since it uses less digits than its factorization.

3835877760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4706 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The square root of 3835877760 is about 61934.4634270775. The cubic root of 3835877760 is about 1565.3865077816.

The spelling of 3835877760 in words is "three billion, eight hundred thirty-five million, eight hundred seventy-seven thousand, seven hundred sixty".