3334362661344 has 288 divisors, whose sum is σ = 10345189736448. Its totient is φ = 932166144000.

The previous prime is 3334362661313. The next prime is 3334362661367. The reversal of 3334362661344 is 4431662634333.

It is a super-2 number, since 2×3334362661344² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3334362661293 and 3334362661302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407072289 + ... + 407080479.

It is an arithmetic number, because the mean of its divisors is an integer number (35920797696).

Almost surely, 2^{3334362661344} 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 3334362661344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5172594868224).

3334362661344 is an abundant number, since it is smaller than the sum of its proper divisors (7010827075104).

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

3334362661344 is a wasteful number, since it uses less digits than its factorization.

3334362661344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10522 (or 10501 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 48.

The spelling of 3334362661344 in words is "three trillion, three hundred thirty-four billion, three hundred sixty-two million, six hundred sixty-one thousand, three hundred forty-four".