3514345632 has 144 divisors (see below), whose sum is σ = 11453000832. Its totient is φ = 1001341440.

The previous prime is 3514345631. The next prime is 3514345649. The reversal of 3514345632 is 2365434153.

3514345632 is a `hidden beast` number, since 3 + 5 + 14 + 3 + 4 + 5 + 632 = 666.

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 (36).

Its product of digits (129600) is a multiple of the sum of its prime divisors (4800).

It is not an unprimeable number, because it can be changed into a prime (3514345631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 798157 + ... + 802547.

It is an arithmetic number, because the mean of its divisors is an integer number (79534728).

Almost surely, 2^3514345632 is an apocalyptic number.

3514345632 is a gapful number since it is divisible by the number (32) 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 3514345632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5726500416).

3514345632 is an abundant number, since it is smaller than the sum of its proper divisors (7938655200).

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

3514345632 is a wasteful number, since it uses less digits than its factorization.

3514345632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811 (or 4800 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 3514345632 is about 59281.9165682082. The cubic root of 3514345632 is about 1520.3660291168.

Adding to 3514345632 its reverse (2365434153), we get a palindrome (5879779785).

The spelling of 3514345632 in words is "three billion, five hundred fourteen million, three hundred forty-five thousand, six hundred thirty-two".