3542314120000 has 140 divisors (see below), whose sum is σ = 8914895820160. Its totient is φ = 1395776448000.

The previous prime is 3542314119979. The next prime is 3542314120027. The reversal of 3542314120000 is 214132453.

3542314120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3542314120000³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2019121 + ... + 3340879.

Almost surely, 2^{3542314120000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3542314120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457447910080).

3542314120000 is an abundant number, since it is smaller than the sum of its proper divisors (5372581700160).

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

3542314120000 is an equidigital number, since it uses as much as digits as its factorization.

3542314120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321858 (or 1321833 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 3542314120000 its reverse (214132453), we get a palindrome (3542528252453).

The spelling of 3542314120000 in words is "three trillion, five hundred forty-two billion, three hundred fourteen million, one hundred twenty thousand".