3874677264 has 240 divisors, whose sum is σ = 11821118400. Its totient is φ = 1180237824.

The previous prime is 3874677251. The next prime is 3874677293. The reversal of 3874677264 is 4627764783.

It is a self number, because there is not a number n which added to its sum of digits gives 3874677264.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20075952 + ... + 20076144.

It is an arithmetic number, because the mean of its divisors is an integer number (49254660).

Almost surely, 2^3874677264 is an apocalyptic number.

3874677264 is a gapful number since it is divisible by the number (34) 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 3874677264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5910559200).

3874677264 is an abundant number, since it is smaller than the sum of its proper divisors (7946441136).

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

3874677264 is a wasteful number, since it uses less digits than its factorization.

3874677264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 413 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 54.

The square root of 3874677264 is about 62246.9056580325. The cubic root of 3874677264 is about 1570.6467191086.

The spelling of 3874677264 in words is "three billion, eight hundred seventy-four million, six hundred seventy-seven thousand, two hundred sixty-four".