3739148672 has 128 divisors (see below), whose sum is σ = 8702346240. Its totient is φ = 1567346688.

The previous prime is 3739148671. The next prime is 3739148687. The reversal of 3739148672 is 2768419373.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3739148672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3739148671) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10188233 + ... + 10188599.

It is an arithmetic number, because the mean of its divisors is an integer number (67987080).

Almost surely, 2^3739148672 is an apocalyptic number.

3739148672 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 3739148672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4351173120).

3739148672 is an abundant number, since it is smaller than the sum of its proper divisors (4963197568).

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

3739148672 is a wasteful number, since it uses less digits than its factorization.

3739148672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 596 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 50.

The square root of 3739148672 is about 61148.5786588699. The cubic root of 3739148672 is about 1552.1162452342.

The spelling of 3739148672 in words is "three billion, seven hundred thirty-nine million, one hundred forty-eight thousand, six hundred seventy-two".