3526213608000 has 896 divisors, whose sum is σ = 13210273889280. Its totient is φ = 920678400000.

The previous prime is 3526213607963. The next prime is 3526213608061. The reversal of 3526213608000 is 8063126253.

It is a happy number.

3526213608000 is a `hidden beast` number, since 3 + 5 + 26 + 21 + 3 + 608 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2380967260 + ... + 2380968740.

Almost surely, 2^{3526213608000} is an apocalyptic number.

3526213608000 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 3526213608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6605136944640).

3526213608000 is an abundant number, since it is smaller than the sum of its proper divisors (9684060281280).

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

3526213608000 is a wasteful number, since it uses less digits than its factorization.

3526213608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 3526213608000 in words is "three trillion, five hundred twenty-six billion, two hundred thirteen million, six hundred eight thousand".