3514078080 has 320 divisors, whose sum is σ = 12796185600. Its totient is φ = 918687744.

The previous prime is 3514078037. The next prime is 3514078081. The reversal of 3514078080 is 808704153.

It is a tau number, because it is divible by the number of its divisors (320).

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 (3514078081) 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 39 ways as a sum of consecutive naturals, for example, 2746881 + ... + 2748159.

It is an arithmetic number, because the mean of its divisors is an integer number (39988080).

Almost surely, 2^3514078080 is an apocalyptic number.

3514078080 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 3514078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6398092800).

3514078080 is an abundant number, since it is smaller than the sum of its proper divisors (9282107520).

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

3514078080 is a wasteful number, since it uses less digits than its factorization.

3514078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 3514078080 is about 59279.6599180528. The cubic root of 3514078080 is about 1520.3274456139.

The spelling of 3514078080 in words is "three billion, five hundred fourteen million, seventy-eight thousand, eighty".