3514339920060 has 192 divisors, whose sum is σ = 11068786713600. Its totient is φ = 925568757504.

The previous prime is 3514339920059. The next prime is 3514339920061. The reversal of 3514339920060 is 600299334153.

3514339920060 is a `hidden beast` number, since 3 + 5 + 1 + 433 + 9 + 9 + 200 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3514339920059) and next prime (3514339920061).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 3514339919988 and 3514339920015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3514339920061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162999561 + ... + 163021119.

It is an arithmetic number, because the mean of its divisors is an integer number (57649930800).

Almost surely, 2^{3514339920060} is an apocalyptic number.

3514339920060 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 3514339920060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5534393356800).

3514339920060 is an abundant number, since it is smaller than the sum of its proper divisors (7554446793540).

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

3514339920060 is a wasteful number, since it uses less digits than its factorization.

3514339920060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25297 (or 25289 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 3514339920060 in words is "three trillion, five hundred fourteen billion, three hundred thirty-nine million, nine hundred twenty thousand, sixty".