3523005365152 has 288 divisors, whose sum is σ = 9097199983872. Its totient is φ = 1307503669248.

The previous prime is 3523005365141. The next prime is 3523005365197. The reversal of 3523005365152 is 2515635003253.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108260628 + ... + 108293164.

It is an arithmetic number, because the mean of its divisors is an integer number (31587499944).

Almost surely, 2^{3523005365152} is an apocalyptic number.

3523005365152 is a gapful number since it is divisible by the number (32) 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 3523005365152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548599991936).

3523005365152 is an abundant number, since it is smaller than the sum of its proper divisors (5574194618720).

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

3523005365152 is a wasteful number, since it uses less digits than its factorization.

3523005365152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32708 (or 32681 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 40.

The spelling of 3523005365152 in words is "three trillion, five hundred twenty-three billion, five million, three hundred sixty-five thousand, one hundred fifty-two".