3476988313344 has 1728 divisors, whose sum is σ = 13627992268800. Its totient is φ = 828872884224.

The previous prime is 3476988313327. The next prime is 3476988313361. The reversal of 3476988313344 is 4433138896743.

It is a happy number.

3476988313344 is a `hidden beast` number, since 3 + 476 + 98 + 8 + 3 + 1 + 33 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (3476988313327) and next prime (3476988313361).

It is a super-2 number, since 2×3476988313344² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73978474729 + ... + 73978474775.

It is an arithmetic number, because the mean of its divisors is an integer number (7886569600).

Almost surely, 2^{3476988313344} 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 3476988313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6813996134400).

3476988313344 is an abundant number, since it is smaller than the sum of its proper divisors (10151003955456).

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

3476988313344 is a wasteful number, since it uses less digits than its factorization.

3476988313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 124 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 63.

The spelling of 3476988313344 in words is "three trillion, four hundred seventy-six billion, nine hundred eighty-eight million, three hundred thirteen thousand, three hundred forty-four".