3538522251264 has 896 divisors, whose sum is σ = 12828653365248. Its totient is φ = 837691637760.

The previous prime is 3538522251221. The next prime is 3538522251281. The reversal of 3538522251264 is 4621522258353.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×3538522251264² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2041846942 + ... + 2041848674.

It is an arithmetic number, because the mean of its divisors is an integer number (14317693488).

Almost surely, 2^{3538522251264} 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 3538522251264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6414326682624).

3538522251264 is an abundant number, since it is smaller than the sum of its proper divisors (9290131113984).

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

3538522251264 is a wasteful number, since it uses less digits than its factorization.

3538522251264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1852 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 48.

The spelling of 3538522251264 in words is "three trillion, five hundred thirty-eight billion, five hundred twenty-two million, two hundred fifty-one thousand, two hundred sixty-four".