3542465333220 has 192 divisors, whose sum is σ = 10897598428416. Its totient is φ = 852678328320.

The previous prime is 3542465333059. The next prime is 3542465333273. The reversal of 3542465333220 is 223335642453.

It is a super-3 number, since 3×3542465333220³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148475532 + ... + 148499388.

It is an arithmetic number, because the mean of its divisors is an integer number (56758325148).

Almost surely, 2^{3542465333220} is an apocalyptic number.

3542465333220 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 3542465333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5448799214208).

3542465333220 is an abundant number, since it is smaller than the sum of its proper divisors (7355133095196).

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

3542465333220 is a wasteful number, since it uses less digits than its factorization.

3542465333220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25470 (or 25468 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 42.

The spelling of 3542465333220 in words is "three trillion, five hundred forty-two billion, four hundred sixty-five million, three hundred thirty-three thousand, two hundred twenty".