3343015952640 has 2592 divisors, whose sum is σ = 15664155736320. Its totient is φ = 650454368256.

The previous prime is 3343015952603. The next prime is 3343015952687. The reversal of 3343015952640 is 462595103433.

3343015952640 is a `hidden beast` number, since 3 + 3 + 4 + 30 + 1 + 59 + 526 + 40 = 666.

It is a super-2 number, since 2×3343015952640² (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 an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4894605739 + ... + 4894606421.

It is an arithmetic number, because the mean of its divisors is an integer number (6043269960).

Almost surely, 2^{3343015952640} is an apocalyptic number.

3343015952640 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 3343015952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7832077868160).

3343015952640 is an abundant number, since it is smaller than the sum of its proper divisors (12321139783680).

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

3343015952640 is a wasteful number, since it uses less digits than its factorization.

3343015952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 3343015952640 in words is "three trillion, three hundred forty-three billion, fifteen million, nine hundred fifty-two thousand, six hundred forty".