3738208320 has 560 divisors, whose sum is σ = 16587508608. Its totient is φ = 776355840.

The previous prime is 3738208307. The next prime is 3738208337. The reversal of 3738208320 is 238028373.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1994904 + ... + 1996776.

Almost surely, 2^3738208320 is an apocalyptic number.

3738208320 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 3738208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8293754304).

3738208320 is an abundant number, since it is smaller than the sum of its proper divisors (12849300288).

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

3738208320 is a wasteful number, since it uses less digits than its factorization.

3738208320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3738208320 is about 61140.8891005029. The cubic root of 3738208320 is about 1551.9861213199.

The spelling of 3738208320 in words is "three billion, seven hundred thirty-eight million, two hundred eight thousand, three hundred twenty".