3838972320 has 480 divisors, whose sum is σ = 14463453312. Its totient is φ = 960740352.

The previous prime is 3838972307. The next prime is 3838972337. The reversal of 3838972320 is 232798383.

It is a happy number.

3838972320 is a `hidden beast` number, since 38 + 389 + 7 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

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, 72433414 + ... + 72433466.

Almost surely, 2^3838972320 is an apocalyptic number.

3838972320 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 3838972320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7231726656).

3838972320 is an abundant number, since it is smaller than the sum of its proper divisors (10624480992).

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

3838972320 is an frugal number, since it uses more digits than its factorization.

3838972320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3838972320 is about 61959.4409271097. The cubic root of 3838972320 is about 1565.8073484767.

The spelling of 3838972320 in words is "three billion, eight hundred thirty-eight million, nine hundred seventy-two thousand, three hundred twenty".