3542237094912 has 352 divisors, whose sum is σ = 10076905833984. Its totient is φ = 1102420377600.

The previous prime is 3542237094899. The next prime is 3542237094931. The reversal of 3542237094912 is 2194907322453.

It is a super-3 number, since 3×3542237094912³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5424558778 + ... + 5424559430.

It is an arithmetic number, because the mean of its divisors is an integer number (28627573392).

Almost surely, 2^{3542237094912} is an apocalyptic number.

3542237094912 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 3542237094912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038452916992).

3542237094912 is an abundant number, since it is smaller than the sum of its proper divisors (6534668739072).

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

3542237094912 is a wasteful number, since it uses less digits than its factorization.

3542237094912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 3542237094912 in words is "three trillion, five hundred forty-two billion, two hundred thirty-seven million, ninety-four thousand, nine hundred twelve".