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3879073152 = 273831149

3879073152 has 288 divisors, whose sum is σ = 12045384000. Its totient is φ = 1242915840.

The previous prime is 3879073111. The next prime is 3879073171. The reversal of 3879073152 is 2513709783.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 3879073098 and 3879073107.

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 35 ways as a sum of consecutive naturals, for example, 26033974 + ... + 26034122.

It is an arithmetic number, because the mean of its divisors is an integer number (41824250).

Almost surely, 23879073152 is an apocalyptic number.

3879073152 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 3879073152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6022692000).

3879073152 is an abundant number, since it is smaller than the sum of its proper divisors (8166310848).

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

3879073152 is an frugal number, since it uses more digits than its factorization.

3879073152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 3879073152 is about 62282.2057412870. The cubic root of 3879073152 is about 1571.2404698643.

The spelling of 3879073152 in words is "three billion, eight hundred seventy-nine million, seventy-three thousand, one hundred fifty-two".