39738240 has 96 divisors (see below), whose sum is σ = 137241000. Its totient is φ = 10595328.

The previous prime is 39738221. The next prime is 39738277. The reversal of 39738240 is 4283793.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 39738195 and 39738204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2311 + ... + 9209.

Almost surely, 2^39738240 is an apocalyptic number.

39738240 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 39738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68620500).

39738240 is an abundant number, since it is smaller than the sum of its proper divisors (97502760).

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

39738240 is a wasteful number, since it uses less digits than its factorization.

39738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6924 (or 6909 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 39738240 is about 6303.8274088049. The cubic root of 39738240 is about 341.2475506003.

The spelling of 39738240 in words is "thirty-nine million, seven hundred thirty-eight thousand, two hundred forty".