3523405041120 has 96 divisors (see below), whose sum is σ = 11369426574240. Its totient is φ = 916658216960.

The previous prime is 3523405041109. The next prime is 3523405041131. The reversal of 3523405041120 is 211405043253.

3523405041120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3523405041109) and next prime (3523405041131).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89497725 + ... + 89537084.

It is an arithmetic number, because the mean of its divisors is an integer number (118431526815).

Almost surely, 2^{3523405041120} is an apocalyptic number.

3523405041120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3523405041120 is an abundant number, since it is smaller than the sum of its proper divisors (7846021533120).

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

3523405041120 is a wasteful number, since it uses less digits than its factorization.

3523405041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179034868 (or 179034860 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 3523405041120 in words is "three trillion, five hundred twenty-three billion, four hundred five million, forty-one thousand, one hundred twenty".