3360514493952 has 960 divisors, whose sum is σ = 13172874739200. Its totient is φ = 834867855360.

The previous prime is 3360514493867. The next prime is 3360514493957. The reversal of 3360514493952 is 2593944150633.

3360514493952 is a `hidden beast` number, since 3 + 3 + 6 + 0 + 514 + 49 + 39 + 52 = 666.

It is a super-2 number, since 2×3360514493952² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3360514493957) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171366324 + ... + 171385932.

It is an arithmetic number, because the mean of its divisors is an integer number (13721744520).

Almost surely, 2^{3360514493952} is an apocalyptic number.

3360514493952 is a gapful number since it is divisible by the number (32) 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 3360514493952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586437369600).

3360514493952 is an abundant number, since it is smaller than the sum of its proper divisors (9812360245248).

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

3360514493952 is a wasteful number, since it uses less digits than its factorization.

3360514493952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19684 (or 19655 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 3360514493952 in words is "three trillion, three hundred sixty billion, five hundred fourteen million, four hundred ninety-three thousand, nine hundred fifty-two".