3900710338560 has 2520 divisors, whose sum is σ = 17245889692416. Its totient is φ = 842764124160.

The previous prime is 3900710338523. The next prime is 3900710338579. The reversal of 3900710338560 is 658330170093.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×3900710338560² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 90714193899 + ... + 90714193941.

Almost surely, 2^{3900710338560} is an apocalyptic number.

3900710338560 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 3900710338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8622944846208).

3900710338560 is an abundant number, since it is smaller than the sum of its proper divisors (13345179353856).

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

3900710338560 is an frugal number, since it uses more digits than its factorization.

3900710338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 3900710338560 in words is "three trillion, nine hundred billion, seven hundred ten million, three hundred thirty-eight thousand, five hundred sixty".