3736149072 has 80 divisors (see below), whose sum is σ = 10090925568. Its totient is φ = 1188922240.

The previous prime is 3736149071. The next prime is 3736149091. The reversal of 3736149072 is 2709416373.

It is a super-2 number, since 2×3736149072² = 27917619776412922368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3736149071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618547 + ... + 624557.

Almost surely, 2^3736149072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3736149072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045462784).

3736149072 is an abundant number, since it is smaller than the sum of its proper divisors (6354776496).

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

3736149072 is a wasteful number, since it uses less digits than its factorization.

3736149072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6608 (or 6602 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The square root of 3736149072 is about 61124.0465937915. The cubic root of 3736149072 is about 1551.7010907149.

The spelling of 3736149072 in words is "three billion, seven hundred thirty-six million, one hundred forty-nine thousand, seventy-two".