3874424640 has 224 divisors, whose sum is σ = 12833786880. Its totient is φ = 989184000.

The previous prime is 3874424639. The next prime is 3874424647. The reversal of 3874424640 is 464244783.

It is a happy number.

3874424640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3874424640² = 30022332582078259200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3874424592 and 3874424601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3874424647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3005116 + ... + 3006404.

Almost surely, 2^3874424640 is an apocalyptic number.

3874424640 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 3874424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6416893440).

3874424640 is an abundant number, since it is smaller than the sum of its proper divisors (8959362240).

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

3874424640 is a wasteful number, since it uses less digits than its factorization.

3874424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The square root of 3874424640 is about 62244.8764156537. The cubic root of 3874424640 is about 1570.6125836480.

The spelling of 3874424640 in words is "three billion, eight hundred seventy-four million, four hundred twenty-four thousand, six hundred forty".