3502253538000 has 2880 divisors, whose sum is σ = 16081264233216. Its totient is φ = 731566080000.

The previous prime is 3502253537987. The next prime is 3502253538013. The reversal of 3502253538000 is 8353522053.

3502253538000 is a `hidden beast` number, since 3 + 5 + 0 + 225 + 353 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3502253537987) and next prime (3502253538013).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 16598357895 + ... + 16598358105.

Almost surely, 2^{3502253538000} is an apocalyptic number.

3502253538000 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 3502253538000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8040632116608).

3502253538000 is an abundant number, since it is smaller than the sum of its proper divisors (12579010695216).

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

3502253538000 is a wasteful number, since it uses less digits than its factorization.

3502253538000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 3502253538000 in words is "three trillion, five hundred two billion, two hundred fifty-three million, five hundred thirty-eight thousand".