3746072736 has 216 divisors, whose sum is σ = 12793382784. Its totient is φ = 1035659520.

The previous prime is 3746072731. The next prime is 3746072747. The reversal of 3746072736 is 6372706473.

3746072736 is a `hidden beast` number, since 3 + 7 + 4 + 607 + 2 + 7 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3746072691 and 3746072700.

It is not an unprimeable number, because it can be changed into a prime (3746072731) 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 35 ways as a sum of consecutive naturals, for example, 433191 + ... + 441753.

It is an arithmetic number, because the mean of its divisors is an integer number (59228624).

Almost surely, 2^3746072736 is an apocalyptic number.

3746072736 is a gapful number since it is divisible by the number (36) 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 3746072736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6396691392).

3746072736 is an abundant number, since it is smaller than the sum of its proper divisors (9047310048).

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

3746072736 is a wasteful number, since it uses less digits than its factorization.

3746072736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8624 (or 8606 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 45.

The square root of 3746072736 is about 61205.1691934595. The cubic root of 3746072736 is about 1553.0737114320.

The spelling of 3746072736 in words is "three billion, seven hundred forty-six million, seventy-two thousand, seven hundred thirty-six".