3873091392 has 126 divisors (see below), whose sum is σ = 11472822114. Its totient is φ = 1249205760.

The previous prime is 3873091307. The next prime is 3873091477. The reversal of 3873091392 is 2931903783.

It is an interprime number because it is at equal distance from previous prime (3873091307) and next prime (3873091477).

It can be written as a sum of positive squares in only one way, i.e., 3031163136 + 841928256 = 55056^2 + 29016^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 550038 + ... + 557034.

Almost surely, 2^3873091392 is an apocalyptic number.

3873091392 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 3873091392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5736411057).

3873091392 is an abundant number, since it is smaller than the sum of its proper divisors (7599730722).

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

3873091392 is a wasteful number, since it uses less digits than its factorization.

3873091392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7077 (or 7033 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 3873091392 is about 62234.1657933968. The cubic root of 3873091392 is about 1570.4324058133.

The spelling of 3873091392 in words is "three billion, eight hundred seventy-three million, ninety-one thousand, three hundred ninety-two".