3514323680 has 192 divisors, whose sum is σ = 9884270592. Its totient is φ = 1155409920.

The previous prime is 3514323601. The next prime is 3514323689. The reversal of 3514323680 is 863234153.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3514323680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3514323689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4409042 + ... + 4409838.

It is an arithmetic number, because the mean of its divisors is an integer number (51480576).

Almost surely, 2^3514323680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3514323680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4942135296).

3514323680 is an abundant number, since it is smaller than the sum of its proper divisors (6369946912).

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

3514323680 is a wasteful number, since it uses less digits than its factorization.

3514323680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 3514323680 is about 59281.7314187094. The cubic root of 3514323680 is about 1520.3628635067.

The spelling of 3514323680 in words is "three billion, five hundred fourteen million, three hundred twenty-three thousand, six hundred eighty".