3460145424216 has 256 divisors, whose sum is σ = 9869970432000. Its totient is φ = 1002075701760.

The previous prime is 3460145424179. The next prime is 3460145424217. The reversal of 3460145424216 is 6124245410643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3460145424217) 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, 608856111 + ... + 608861793.

It is an arithmetic number, because the mean of its divisors is an integer number (38554572000).

Almost surely, 2^{3460145424216} 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 3460145424216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4934985216000).

3460145424216 is an abundant number, since it is smaller than the sum of its proper divisors (6409825007784).

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

3460145424216 is a wasteful number, since it uses less digits than its factorization.

3460145424216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6374 (or 6370 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 3460145424216 in words is "three trillion, four hundred sixty billion, one hundred forty-five million, four hundred twenty-four thousand, two hundred sixteen".