3874288320 has 560 divisors, whose sum is σ = 15967911168. Its totient is φ = 873400320.

The previous prime is 3874288279. The next prime is 3874288361. The reversal of 3874288320 is 238824783.

It is an interprime number because it is at equal distance from previous prime (3874288279) and next prime (3874288361).

It is a tau number, because it is divible by the number of its divisors (560).

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23768559 + ... + 23768721.

Almost surely, 2^3874288320 is an apocalyptic number.

3874288320 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 3874288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983955584).

3874288320 is an abundant number, since it is smaller than the sum of its proper divisors (12093622848).

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

3874288320 is a wasteful number, since it uses less digits than its factorization.

3874288320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 3874288320 is about 62243.7813761343. The cubic root of 3874288320 is about 1570.5941629844.

The spelling of 3874288320 in words is "three billion, eight hundred seventy-four million, two hundred eighty-eight thousand, three hundred twenty".