3376842243264 has 896 divisors, whose sum is σ = 12306327797760. Its totient is φ = 886837248000.

The previous prime is 3376842243263. The next prime is 3376842243283. The reversal of 3376842243264 is 4623422486733.

3376842243264 is a `hidden beast` number, since 3 + 3 + 76 + 84 + 2 + 2 + 432 + 64 = 666.

It is a super-2 number, since 2×3376842243264² (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 nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3376842243264.

It is not an unprimeable number, because it can be changed into a prime (3376842243263) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1302290352 + ... + 1302292944.

Almost surely, 2^{3376842243264} 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 3376842243264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6153163898880).

3376842243264 is an abundant number, since it is smaller than the sum of its proper divisors (8929485554496).

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

3376842243264 is a wasteful number, since it uses less digits than its factorization.

3376842243264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826 (or 2810 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 54.

The spelling of 3376842243264 in words is "three trillion, three hundred seventy-six billion, eight hundred forty-two million, two hundred forty-three thousand, two hundred sixty-four".