39068100 has 108 divisors (see below), whose sum is σ = 124169136. Its totient is φ = 10272960.

The previous prime is 39068083. The next prime is 39068101. The reversal of 39068100 is 186093.

It is a super-2 number, since 2×39068100² = 3052632875220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (39068101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74439 + ... + 74961.

Almost surely, 2^39068100 is an apocalyptic number.

39068100 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 39068100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62084568).

39068100 is an abundant number, since it is smaller than the sum of its proper divisors (85101036).

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

39068100 is a wasteful number, since it uses less digits than its factorization.

39068100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 616 counting only the distinct ones).

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

The square root of 39068100 is about 6250.4479839448. The cubic root of 39068100 is about 339.3184154208.

The spelling of 39068100 in words is "thirty-nine million, sixty-eight thousand, one hundred".