38029300 has 36 divisors (see below), whose sum is σ = 83182176. Its totient is φ = 15090400.

The previous prime is 38029297. The next prime is 38029301. The reversal of 38029300 is 392083.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38029301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11649 + ... + 14551.

It is an arithmetic number, because the mean of its divisors is an integer number (2310616).

Almost surely, 2^38029300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38029300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41591088).

38029300 is an abundant number, since it is smaller than the sum of its proper divisors (45152876).

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

38029300 is a wasteful number, since it uses less digits than its factorization.

38029300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 38029300 is about 6166.7900888550. The cubic root of 38029300 is about 336.2839271470.

The spelling of 38029300 in words is "thirty-eight million, twenty-nine thousand, three hundred".