39968400 has 120 divisors (see below), whose sum is σ = 134847520. Its totient is φ = 10091520.

The previous prime is 39968353. The next prime is 39968407. The reversal of 39968400 is 486993.

39968400 = T₄₈₀ + T₄₈₁ + ... + T₇₀₄.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (39968407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21924 + ... + 23676.

Almost surely, 2^39968400 is an apocalyptic number.

39968400 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 39968400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67423760).

39968400 is an abundant number, since it is smaller than the sum of its proper divisors (94879120).

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

39968400 is a wasteful number, since it uses less digits than its factorization.

39968400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 39968400 is about 6322.0566273959. The cubic root of 39968400 is about 341.9051068763.

The spelling of 39968400 in words is "thirty-nine million, nine hundred sixty-eight thousand, four hundred".