3502542185472 has 528 divisors, whose sum is σ = 10529605812096. Its totient is φ = 1033981132800.

The previous prime is 3502542185413. The next prime is 3502542185491. The reversal of 3502542185472 is 2745812452053.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×3502542185472² (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 47 ways as a sum of consecutive naturals, for example, 2562210133 + ... + 2562211499.

Almost surely, 2^{3502542185472} is an apocalyptic number.

3502542185472 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 3502542185472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264802906048).

3502542185472 is an abundant number, since it is smaller than the sum of its proper divisors (7027063626624).

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

3502542185472 is a wasteful number, since it uses less digits than its factorization.

3502542185472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 48.

The spelling of 3502542185472 in words is "three trillion, five hundred two billion, five hundred forty-two million, one hundred eighty-five thousand, four hundred seventy-two".