3542666004300 has 288 divisors, whose sum is σ = 11234550942720. Its totient is φ = 857925734400.

The previous prime is 3542666004281. The next prime is 3542666004341. The reversal of 3542666004300 is 34006662453.

It is a super-3 number, since 3×3542666004300³ (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 95 ways as a sum of consecutive naturals, for example, 258374445 + ... + 258388155.

It is an arithmetic number, because the mean of its divisors is an integer number (39008857440).

Almost surely, 2^{3542666004300} is an apocalyptic number.

3542666004300 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 3542666004300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5617275471360).

3542666004300 is an abundant number, since it is smaller than the sum of its proper divisors (7691884938420).

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

3542666004300 is a wasteful number, since it uses less digits than its factorization.

3542666004300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15521 (or 15514 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 39.

The spelling of 3542666004300 in words is "three trillion, five hundred forty-two billion, six hundred sixty-six million, four thousand, three hundred".