3798149760 has 384 divisors, whose sum is σ = 13747968000. Its totient is φ = 965099520.

The previous prime is 3798149753. The next prime is 3798149783. The reversal of 3798149760 is 679418973.

It is a happy number.

3798149760 is a `hidden beast` number, since 3 + 7 + 98 + 1 + 497 + 60 = 666.

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 = 3798149697 and 3798149706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15891721 + ... + 15891959.

It is an arithmetic number, because the mean of its divisors is an integer number (35802000).

Almost surely, 2^3798149760 is an apocalyptic number.

3798149760 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 3798149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6873984000).

3798149760 is an abundant number, since it is smaller than the sum of its proper divisors (9949818240).

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

3798149760 is a wasteful number, since it uses less digits than its factorization.

3798149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 3798149760 is about 61629.1307743343. The cubic root of 3798149760 is about 1560.2374392040.

The spelling of 3798149760 in words is "three billion, seven hundred ninety-eight million, one hundred forty-nine thousand, seven hundred sixty".