3380811313152 has 1248 divisors, whose sum is σ = 11972626122240. Its totient is φ = 839295959040.

The previous prime is 3380811313147. The next prime is 3380811313157. The reversal of 3380811313152 is 2513131180833.

It is an interprime number because it is at equal distance from previous prime (3380811313147) and next prime (3380811313157).

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×3380811313152² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3380811313152.

It is not an unprimeable number, because it can be changed into a prime (3380811313157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16022802327 + ... + 16022802537.

Almost surely, 2^{3380811313152} is an apocalyptic number.

3380811313152 is a gapful number since it is divisible by the number (32) 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 3380811313152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5986313061120).

3380811313152 is an abundant number, since it is smaller than the sum of its proper divisors (8591814809088).

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

3380811313152 is a wasteful number, since it uses less digits than its factorization.

3380811313152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

Adding to 3380811313152 its reverse (2513131180833), we get a palindrome (5893942493985).

It can be divided in two parts, 3380811 and 313152, that added together give a palindrome (3693963).

The spelling of 3380811313152 in words is "three trillion, three hundred eighty billion, eight hundred eleven million, three hundred thirteen thousand, one hundred fifty-two".