3239838860544 has 864 divisors, whose sum is σ = 11434014079488. Its totient is φ = 902016000000.

The previous prime is 3239838860509. The next prime is 3239838860561. The reversal of 3239838860544 is 4450688389323.

It is a happy number.

3239838860544 is a `hidden beast` number, since 3 + 2 + 3 + 9 + 8 + 3 + 8 + 86 + 0 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2232831019 + ... + 2232832469.

It is an arithmetic number, because the mean of its divisors is an integer number (13233812592).

Almost surely, 2^{3239838860544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3239838860544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5717007039744).

3239838860544 is an abundant number, since it is smaller than the sum of its proper divisors (8194175218944).

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

3239838860544 is a wasteful number, since it uses less digits than its factorization.

3239838860544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 3239838860544 in words is "three trillion, two hundred thirty-nine billion, eight hundred thirty-eight million, eight hundred sixty thousand, five hundred forty-four".