3798616320 has 216 divisors, whose sum is σ = 13325804856. Its totient is φ = 998866944.

The previous prime is 3798616307. The next prime is 3798616333. The reversal of 3798616320 is 236168973.

3798616320 is a `hidden beast` number, since 3 + 7 + 9 + 8 + 6 + 1 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3798616307) and next prime (3798616333).

It can be written as a sum of positive squares in 4 ways, for example, as 112896 + 3798503424 = 336^2 + 61632^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 838702 + ... + 843218.

It is an arithmetic number, because the mean of its divisors is an integer number (61693541).

Almost surely, 2^3798616320 is an apocalyptic number.

3798616320 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 3798616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6662902428).

3798616320 is an abundant number, since it is smaller than the sum of its proper divisors (9527188536).

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

3798616320 is a wasteful number, since it uses less digits than its factorization.

3798616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4617 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3798616320 is about 61632.9158810453. The cubic root of 3798616320 is about 1560.3013224648.

The spelling of 3798616320 in words is "three billion, seven hundred ninety-eight million, six hundred sixteen thousand, three hundred twenty".