3738658320 has 120 divisors (see below), whose sum is σ = 12567796800. Its totient is φ = 996012288.

The previous prime is 3738658307. The next prime is 3738658321. The reversal of 3738658320 is 238568373.

3738658320 is a `hidden beast` number, since 37 + 38 + 6 + 583 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3738658321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1048701 + ... + 1052259.

It is an arithmetic number, because the mean of its divisors is an integer number (104731640).

Almost surely, 2^3738658320 is an apocalyptic number.

3738658320 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 3738658320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283898400).

3738658320 is an abundant number, since it is smaller than the sum of its proper divisors (8829138480).

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

3738658320 is a wasteful number, since it uses less digits than its factorization.

3738658320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5037 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3738658320 is about 61144.5690147539. The cubic root of 3738658320 is about 1552.0483940874.

The spelling of 3738658320 in words is "three billion, seven hundred thirty-eight million, six hundred fifty-eight thousand, three hundred twenty".