3739731072 has 256 divisors, whose sum is σ = 12549427200. Its totient is φ = 958464000.

The previous prime is 3739731071. The next prime is 3739731091. The reversal of 3739731072 is 2701379373.

3739731072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3739731071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2335072 + ... + 2336672.

It is an arithmetic number, because the mean of its divisors is an integer number (49021200).

Almost surely, 2^3739731072 is an apocalyptic number.

3739731072 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 3739731072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6274713600).

3739731072 is an abundant number, since it is smaller than the sum of its proper divisors (8809696128).

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

3739731072 is a wasteful number, since it uses less digits than its factorization.

3739731072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 42.

The square root of 3739731072 is about 61153.3406446451. The cubic root of 3739731072 is about 1552.1968255706.

The spelling of 3739731072 in words is "three billion, seven hundred thirty-nine million, seven hundred thirty-one thousand, seventy-two".