39042900 has 216 divisors, whose sum is σ = 136491264. Its totient is φ = 9273600.

The previous prime is 39042877. The next prime is 39042907. The reversal of 39042900 is 924093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39042907) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 549865 + ... + 549935.

It is an arithmetic number, because the mean of its divisors is an integer number (631904).

Almost surely, 2^39042900 is an apocalyptic number.

39042900 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 39042900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68245632).

39042900 is an abundant number, since it is smaller than the sum of its proper divisors (97448364).

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

39042900 is a wasteful number, since it uses less digits than its factorization.

39042900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 39042900 is about 6248.4318032607. The cubic root of 39042900 is about 339.2454431559.

Adding to 39042900 its reverse (924093), we get a palindrome (39966993).

The spelling of 39042900 in words is "thirty-nine million, forty-two thousand, nine hundred".