39506434920 has 144 divisors (see below), whose sum is σ = 130185176940. Its totient is φ = 10390228992.

The previous prime is 39506434897. The next prime is 39506434927. The reversal of 39506434920 is 2943460593.

It can be written as a sum of positive squares in 6 ways, for example, as 31097911716 + 8408523204 = 176346^2 + 91698^2 .

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

It is not an unprimeable number, because it can be changed into a prime (39506434927) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1908144 + ... + 1928736.

Almost surely, 2^39506434920 is an apocalyptic number.

39506434920 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 39506434920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65092588470).

39506434920 is an abundant number, since it is smaller than the sum of its proper divisors (90678742020).

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

39506434920 is a wasteful number, since it uses less digits than its factorization.

39506434920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20756 (or 20676 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 39506434920 in words is "thirty-nine billion, five hundred six million, four hundred thirty-four thousand, nine hundred twenty".