38349300 has 72 divisors (see below), whose sum is σ = 121054752. Its totient is φ = 9296000.

The previous prime is 38349287. The next prime is 38349307. The reversal of 38349300 is 394383.

38349300 = T₆₃ + T₆₄ + ... + T₆₁₂.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38349307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2511 + ... + 9110.

It is an arithmetic number, because the mean of its divisors is an integer number (1681316).

Almost surely, 2^38349300 is an apocalyptic number.

38349300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38349300 is an abundant number, since it is smaller than the sum of its proper divisors (82705452).

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

38349300 is a wasteful number, since it uses less digits than its factorization.

38349300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11649 (or 11642 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 38349300 is about 6192.6811640839. The cubic root of 38349300 is about 337.2245214342.

The spelling of 38349300 in words is "thirty-eight million, three hundred forty-nine thousand, three hundred".