38701152 has 192 divisors, whose sum is σ = 132249600. Its totient is φ = 10917504.

The previous prime is 38701139. The next prime is 38701153. The reversal of 38701152 is 25110783.

It is a super-2 number, since 2×38701152² = 2995558332254208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38701153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489849 + ... + 489927.

It is an arithmetic number, because the mean of its divisors is an integer number (688800).

Almost surely, 2^38701152 is an apocalyptic number.

38701152 is a gapful number since it is divisible by the number (32) 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 38701152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66124800).

38701152 is an abundant number, since it is smaller than the sum of its proper divisors (93548448).

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

38701152 is an frugal number, since it uses more digits than its factorization.

38701152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 38701152 is about 6221.0249959311. The cubic root of 38701152 is about 338.2527199746.

The spelling of 38701152 in words is "thirty-eight million, seven hundred one thousand, one hundred fifty-two".