39930000 has 200 divisors, whose sum is σ = 141779616. Its totient is φ = 9680000.

The previous prime is 39929999. The next prime is 39930017. The reversal of 39930000 is 3993.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3629995 + ... + 3630005.

Almost surely, 2^39930000 is an apocalyptic number.

39930000 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 39930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70889808).

39930000 is an abundant number, since it is smaller than the sum of its proper divisors (101849616).

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

39930000 is an equidigital number, since it uses as much as digits as its factorization.

39930000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 24.

The square root of 39930000 is about 6319.0189111918. The cubic root of 39930000 is about 341.7955756549.

Adding to 39930000 its reverse (3993), we get a palindrome (39933993).

Multiplying 39930000 by its reverse (3993), we get a square (159440490000 = 399300²).

39930000 divided by its reverse (3993) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 39 and 930000, that added together give a palindrome (930039).

The spelling of 39930000 in words is "thirty-nine million, nine hundred thirty thousand".