38193120 has 240 divisors, whose sum is σ = 154411488. Its totient is φ = 8709120.

The previous prime is 38193083. The next prime is 38193131. The reversal of 38193120 is 2139183.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90510 + ... + 90930.

Almost surely, 2^38193120 is an apocalyptic number.

38193120 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 38193120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77205744).

38193120 is an abundant number, since it is smaller than the sum of its proper divisors (116218368).

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

38193120 is a wasteful number, since it uses less digits than its factorization.

38193120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 38193120 is about 6180.0582521526. The cubic root of 38193120 is about 336.7661090205.

The spelling of 38193120 in words is "thirty-eight million, one hundred ninety-three thousand, one hundred twenty".