3534431160 has 128 divisors (see below), whose sum is σ = 11915527680. Its totient is φ = 832178688.

The previous prime is 3534431143. The next prime is 3534431213. The reversal of 3534431160 is 611344353.

3534431160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 13374 + ... + 85133.

It is an arithmetic number, because the mean of its divisors is an integer number (93090060).

Almost surely, 2^3534431160 is an apocalyptic number.

3534431160 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 3534431160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5957763840).

3534431160 is an abundant number, since it is smaller than the sum of its proper divisors (8381096520).

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

3534431160 is a wasteful number, since it uses less digits than its factorization.

3534431160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98557 (or 98553 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 3534431160 is about 59451.0820759387. The cubic root of 3534431160 is about 1523.2569762024.

The spelling of 3534431160 in words is "three billion, five hundred thirty-four million, four hundred thirty-one thousand, one hundred sixty".