3746989584 has 240 divisors, whose sum is σ = 12335371200. Its totient is φ = 1084741632.

The previous prime is 3746989529. The next prime is 3746989613. The reversal of 3746989584 is 4859896473.

3746989584 is a `hidden beast` number, since 3 + 7 + 46 + 9 + 8 + 9 + 584 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1239627 + ... + 1242645.

It is an arithmetic number, because the mean of its divisors is an integer number (51397380).

Almost surely, 2^3746989584 is an apocalyptic number.

3746989584 is a gapful number since it is divisible by the number (34) 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 3746989584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6167685600).

3746989584 is an abundant number, since it is smaller than the sum of its proper divisors (8588381616).

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

3746989584 is a wasteful number, since it uses less digits than its factorization.

3746989584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079 (or 3054 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The square root of 3746989584 is about 61212.6586908296. The cubic root of 3746989584 is about 1553.2004055704.

The spelling of 3746989584 in words is "three billion, seven hundred forty-six million, nine hundred eighty-nine thousand, five hundred eighty-four".