3534981120 has 432 divisors, whose sum is σ = 13509126540. Its totient is φ = 854261760.

The previous prime is 3534981029. The next prime is 3534981137. The reversal of 3534981120 is 211894353.

3534981120 is a `hidden beast` number, since 3 + 53 + 498 + 112 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3132417024 + 402564096 = 55968^2 + 20064^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11151202 + ... + 11151518.

Almost surely, 2^3534981120 is an apocalyptic number.

3534981120 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 3534981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6754563270).

3534981120 is an abundant number, since it is smaller than the sum of its proper divisors (9974145420).

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

3534981120 is a wasteful number, since it uses less digits than its factorization.

3534981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3534981120 is about 59455.7072113351. The cubic root of 3534981120 is about 1523.3359787275.

The spelling of 3534981120 in words is "three billion, five hundred thirty-four million, nine hundred eighty-one thousand, one hundred twenty".