3746784000 has 288 divisors, whose sum is σ = 12856596480. Its totient is φ = 966144000.

The previous prime is 3746783987. The next prime is 3746784043. The reversal of 3746784000 is 4876473.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3746784000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2975371 + ... + 2976629.

It is an arithmetic number, because the mean of its divisors is an integer number (44640960).

Almost surely, 2^3746784000 is an apocalyptic number.

3746784000 is a gapful number since it is divisible by the number (30) 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 3746784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428298240).

3746784000 is an abundant number, since it is smaller than the sum of its proper divisors (9109812480).

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

3746784000 is a wasteful number, since it uses less digits than its factorization.

3746784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 3746784000 is about 61210.9794072926. The cubic root of 3746784000 is about 1553.1719988558.

The spelling of 3746784000 in words is "three billion, seven hundred forty-six million, seven hundred eighty-four thousand".