39681900 has 216 divisors, whose sum is σ = 136491264. Its totient is φ = 9979200.

The previous prime is 39681881. The next prime is 39681911. The reversal of 39681900 is 918693.

It is a super-2 number, since 2×39681900² = 3149306375220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 558865 + ... + 558935.

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

Almost surely, 2^39681900 is an apocalyptic number.

39681900 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 39681900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68245632).

39681900 is an abundant number, since it is smaller than the sum of its proper divisors (96809364).

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

39681900 is a wasteful number, since it uses less digits than its factorization.

39681900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 39681900 is about 6299.3571100550. The cubic root of 39681900 is about 341.0862032417.

The spelling of 39681900 in words is "thirty-nine million, six hundred eighty-one thousand, nine hundred".