3874224640 has 320 divisors, whose sum is σ = 11508013440. Its totient is φ = 1229783040.

The previous prime is 3874224611. The next prime is 3874224643. The reversal of 3874224640 is 464224783.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3874224640² = 30019233122366259200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3874224593 and 3874224602.

It is not an unprimeable number, because it can be changed into a prime (3874224643) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6955242 + ... + 6955798.

It is an arithmetic number, because the mean of its divisors is an integer number (35962542).

Almost surely, 2^3874224640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3874224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5754006720).

3874224640 is an abundant number, since it is smaller than the sum of its proper divisors (7633788800).

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

3874224640 is a wasteful number, since it uses less digits than its factorization.

3874224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The square root of 3874224640 is about 62243.2698369872. The cubic root of 3874224640 is about 1570.5855578784.

The spelling of 3874224640 in words is "three billion, eight hundred seventy-four million, two hundred twenty-four thousand, six hundred forty".