39993750 has 120 divisors (see below), whose sum is σ = 113430240. Its totient is φ = 10530000.

The previous prime is 39993749. The next prime is 39993763. The reversal of 39993750 is 5739993.

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

It is a junction number, because it is equal to n+sod(n) for n = 39993696 and 39993705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 506211 + ... + 506289.

It is an arithmetic number, because the mean of its divisors is an integer number (945252).

Almost surely, 2^39993750 is an apocalyptic number.

39993750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 39993750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56715120).

39993750 is an abundant number, since it is smaller than the sum of its proper divisors (73436490).

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

39993750 is an frugal number, since it uses more digits than its factorization.

39993750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 229635, while the sum is 45.

The square root of 39993750 is about 6324.0611951498. The cubic root of 39993750 is about 341.9773761581.

It can be divided in two parts, 399 and 93750, that added together give a palindrome (94149).

The spelling of 39993750 in words is "thirty-nine million, nine hundred ninety-three thousand, seven hundred fifty".