3503552052000 has 1536 divisors, whose sum is σ = 15829041586176. Its totient is φ = 653764608000.

The previous prime is 3503552051983. The next prime is 3503552052029. The reversal of 3503552052000 is 2502553053.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 444440059 + ... + 444447941.

It is an arithmetic number, because the mean of its divisors is an integer number (10305365616).

Almost surely, 2^{3503552052000} is an apocalyptic number.

3503552052000 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 3503552052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7914520793088).

3503552052000 is an abundant number, since it is smaller than the sum of its proper divisors (12325489534176).

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

3503552052000 is a wasteful number, since it uses less digits than its factorization.

3503552052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7979 (or 7961 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 30.

The spelling of 3503552052000 in words is "three trillion, five hundred three billion, five hundred fifty-two million, fifty-two thousand".