3874749840 has 240 divisors, whose sum is σ = 14058600192. Its totient is φ = 950731776.

The previous prime is 3874749797. The next prime is 3874749841. The reversal of 3874749840 is 489474783.

3874749840 is a `hidden beast` number, since 3 + 87 + 474 + 98 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (3874749841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4707669 + ... + 4708491.

Almost surely, 2^3874749840 is an apocalyptic number.

3874749840 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 3874749840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7029300096).

3874749840 is an abundant number, since it is smaller than the sum of its proper divisors (10183850352).

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

3874749840 is a wasteful number, since it uses less digits than its factorization.

3874749840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 3874749840 is about 62247.4886240401. The cubic root of 3874749840 is about 1570.6565255636.

The spelling of 3874749840 in words is "three billion, eight hundred seventy-four million, seven hundred forty-nine thousand, eight hundred forty".