3138533760 has 128 divisors (see below), whose sum is σ = 10023262560. Its totient is φ = 835338240.

The previous prime is 3138533689. The next prime is 3138533767. The reversal of 3138533760 is 673358313.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3138533767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1267884 + ... + 1270356.

Almost surely, 2^3138533760 is an apocalyptic number.

3138533760 is a gapful number since it is divisible by the number (30) 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 3138533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5011631280).

3138533760 is an abundant number, since it is smaller than the sum of its proper divisors (6884728800).

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

3138533760 is a wasteful number, since it uses less digits than its factorization.

3138533760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The square root of 3138533760 is about 56022.6182894016. The cubic root of 3138533760 is about 1464.1163871757.

The spelling of 3138533760 in words is "three billion, one hundred thirty-eight million, five hundred thirty-three thousand, seven hundred sixty".