3874546272 has 192 divisors, whose sum is σ = 11024294400. Its totient is φ = 1187758080.

The previous prime is 3874546267. The next prime is 3874546309. The reversal of 3874546272 is 2726454783.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10792429 + ... + 10792787.

It is an arithmetic number, because the mean of its divisors is an integer number (57418200).

Almost surely, 2^3874546272 is an apocalyptic number.

3874546272 is a gapful number since it is divisible by the number (32) 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 3874546272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5512147200).

3874546272 is an abundant number, since it is smaller than the sum of its proper divisors (7149748128).

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

3874546272 is a wasteful number, since it uses less digits than its factorization.

3874546272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 541 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 48.

The square root of 3874546272 is about 62245.8534522582. The cubic root of 3874546272 is about 1570.6290191851.

The spelling of 3874546272 in words is "three billion, eight hundred seventy-four million, five hundred forty-six thousand, two hundred seventy-two".