3354295311360 has 1056 divisors, whose sum is σ = 14081043778560. Its totient is φ = 741758238720.

The previous prime is 3354295311343. The next prime is 3354295311361. The reversal of 3354295311360 is 631135924533.

3354295311360 is a `hidden beast` number, since 3 + 3 + 5 + 42 + 9 + 531 + 13 + 60 = 666.

It is a super-2 number, since 2×3354295311360² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3354295311361) 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, 929938677 + ... + 929942283.

It is an arithmetic number, because the mean of its divisors is an integer number (13334321760).

Almost surely, 2^{3354295311360} is an apocalyptic number.

3354295311360 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 3354295311360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7040521889280).

3354295311360 is an abundant number, since it is smaller than the sum of its proper divisors (10726748467200).

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

3354295311360 is a wasteful number, since it uses less digits than its factorization.

3354295311360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 3354295311360 in words is "three trillion, three hundred fifty-four billion, two hundred ninety-five million, three hundred eleven thousand, three hundred sixty".