3514429440 has 312 divisors, whose sum is σ = 12726848160. Its totient is φ = 895352832.

The previous prime is 3514429367. The next prime is 3514429453. The reversal of 3514429440 is 449244153.

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

It is a junction number, because it is equal to n+sod(n) for n = 3514429395 and 3514429404.

It is a congruent number.

It is an unprimeable number.

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, 4238946 + ... + 4239774.

It is an arithmetic number, because the mean of its divisors is an integer number (40791180).

Almost surely, 2^3514429440 is an apocalyptic number.

3514429440 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 3514429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6363424080).

3514429440 is an abundant number, since it is smaller than the sum of its proper divisors (9212418720).

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

3514429440 is a wasteful number, since it uses less digits than its factorization.

3514429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3514429440 is about 59282.6234237318. The cubic root of 3514429440 is about 1520.3781146121.

The spelling of 3514429440 in words is "three billion, five hundred fourteen million, four hundred twenty-nine thousand, four hundred forty".