39978900 has 288 divisors, whose sum is σ = 148740480. Its totient is φ = 9123840.

The previous prime is 39978857. The next prime is 39978919. The reversal of 39978900 is 987993.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 596667 + ... + 596733.

It is an arithmetic number, because the mean of its divisors is an integer number (516460).

Almost surely, 2^39978900 is an apocalyptic number.

39978900 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 39978900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74370240).

39978900 is an abundant number, since it is smaller than the sum of its proper divisors (108761580).

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

39978900 is a wasteful number, since it uses less digits than its factorization.

39978900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 39978900 is about 6322.8869988321. The cubic root of 39978900 is about 341.9350446045.

The spelling of 39978900 in words is "thirty-nine million, nine hundred seventy-eight thousand, nine hundred".