3935500369920 has 2160 divisors, whose sum is σ = 17573762634120. Its totient is φ = 837115969536.

The previous prime is 3935500369919. The next prime is 3935500369939. The reversal of 3935500369920 is 299630055393.

3935500369920 is a `hidden beast` number, since 3 + 9 + 3 + 550 + 0 + 3 + 69 + 9 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3090395234304 + 845105135616 = 1757952^2 + 919296^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 44219105236 + ... + 44219105324.

Almost surely, 2^{3935500369920} is an apocalyptic number.

3935500369920 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 3935500369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8786881317060).

3935500369920 is an abundant number, since it is smaller than the sum of its proper divisors (13638262264200).

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

3935500369920 is an frugal number, since it uses more digits than its factorization.

3935500369920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 5904900, while the sum is 54.

The spelling of 3935500369920 in words is "three trillion, nine hundred thirty-five billion, five hundred million, three hundred sixty-nine thousand, nine hundred twenty".