3539768709120 has 832 divisors, whose sum is σ = 13149047685120. Its totient is φ = 796389801984.

The previous prime is 3539768709097. The next prime is 3539768709137. The reversal of 3539768709120 is 219078679353.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12508016499 + ... + 12508016781.

Almost surely, 2^{3539768709120} is an apocalyptic number.

3539768709120 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 3539768709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6574523842560).

3539768709120 is an abundant number, since it is smaller than the sum of its proper divisors (9609278976000).

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

3539768709120 is a wasteful number, since it uses less digits than its factorization.

3539768709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 60.

The spelling of 3539768709120 in words is "three trillion, five hundred thirty-nine billion, seven hundred sixty-eight million, seven hundred nine thousand, one hundred twenty".