39825900 has 216 divisors, whose sum is σ = 140147280. Its totient is φ = 9400320.

The previous prime is 39825899. The next prime is 39825901. The reversal of 39825900 is 952893.

It is an interprime number because it is at equal distance from previous prime (39825899) and next prime (39825901).

It is a super-2 number, since 2×39825900² = 3172204621620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (39825901) 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, 290632 + ... + 290768.

It is an arithmetic number, because the mean of its divisors is an integer number (648830).

Almost surely, 2^39825900 is an apocalyptic number.

39825900 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 39825900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70073640).

39825900 is an abundant number, since it is smaller than the sum of its proper divisors (100321380).

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

39825900 is a wasteful number, since it uses less digits than its factorization.

39825900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 39825900 is about 6310.7764973892. The cubic root of 39825900 is about 341.4982896974.

The spelling of 39825900 in words is "thirty-nine million, eight hundred twenty-five thousand, nine hundred".