3531404113920 has 1536 divisors, whose sum is σ = 13753932192000. Its totient is φ = 856141332480.

The previous prime is 3531404113883. The next prime is 3531404113927. The reversal of 3531404113920 is 293114041353.

3531404113920 is a `hidden beast` number, since 3 + 53 + 1 + 404 + 113 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×3531404113920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3531404113927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31251363784 + ... + 31251363896.

Almost surely, 2^{3531404113920} is an apocalyptic number.

3531404113920 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 3531404113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6876966096000).

3531404113920 is an abundant number, since it is smaller than the sum of its proper divisors (10222528078080).

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

3531404113920 is a wasteful number, since it uses less digits than its factorization.

3531404113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 3531404113920 in words is "three trillion, five hundred thirty-one billion, four hundred four million, one hundred thirteen thousand, nine hundred twenty".