3537964286208 has 1152 divisors, whose sum is σ = 12170146060800. Its totient is φ = 1004086886400.

The previous prime is 3537964286189. The next prime is 3537964286249. The reversal of 3537964286208 is 8026824697353.

It is a happy number.

3537964286208 is a `hidden beast` number, since 3 + 537 + 96 + 4 + 2 + 8 + 6 + 2 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9095023678 + ... + 9095024066.

It is an arithmetic number, because the mean of its divisors is an integer number (10564362900).

Almost surely, 2^{3537964286208} 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 3537964286208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6085073030400).

3537964286208 is an abundant number, since it is smaller than the sum of its proper divisors (8632181774592).

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

3537964286208 is a wasteful number, since it uses less digits than its factorization.

3537964286208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 3537964286208 in words is "three trillion, five hundred thirty-seven billion, nine hundred sixty-four million, two hundred eighty-six thousand, two hundred eight".