3874739800 has 96 divisors (see below), whose sum is σ = 9173386080. Its totient is φ = 1521766400.

The previous prime is 3874739797. The next prime is 3874739821. The reversal of 3874739800 is 89374783.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5012214 + ... + 5012986.

It is an arithmetic number, because the mean of its divisors is an integer number (95556105).

Almost surely, 2^3874739800 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 3874739800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586693040).

3874739800 is an abundant number, since it is smaller than the sum of its proper divisors (5298646280).

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

3874739800 is a wasteful number, since it uses less digits than its factorization.

3874739800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

The square root of 3874739800 is about 62247.4079781640. The cubic root of 3874739800 is about 1570.6551689681.

The spelling of 3874739800 in words is "three billion, eight hundred seventy-four million, seven hundred thirty-nine thousand, eight hundred".