3521400242400 has 144 divisors (see below), whose sum is σ = 12735730954800. Its totient is φ = 939040058880.

The previous prime is 3521400242377. The next prime is 3521400242453. The reversal of 3521400242400 is 42420041253.

3521400242400 is a `hidden beast` number, since 3 + 5 + 2 + 14 + 0 + 0 + 242 + 400 = 666.

3521400242400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81492295 + ... + 81535494.

It is an arithmetic number, because the mean of its divisors is an integer number (88442576075).

Almost surely, 2^{3521400242400} is an apocalyptic number.

3521400242400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3521400242400 is an abundant number, since it is smaller than the sum of its proper divisors (9214330712400).

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

3521400242400 is a wasteful number, since it uses less digits than its factorization.

3521400242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163027818 (or 163027799 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 3521400242400 its reverse (42420041253), we get a palindrome (3563820283653).

The spelling of 3521400242400 in words is "three trillion, five hundred twenty-one billion, four hundred million, two hundred forty-two thousand, four hundred".