3384690769152 has 2880 divisors, whose sum is σ = 14031604629504. Its totient is φ = 785672110080.

The previous prime is 3384690769147. The next prime is 3384690769183. The reversal of 3384690769152 is 2519670964833.

3384690769152 is a `hidden beast` number, since 3 + 38 + 469 + 0 + 7 + 6 + 91 + 52 = 666.

It is a super-2 number, since 2×3384690769152² (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 self number, because there is not a number n which added to its sum of digits gives 3384690769152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 63862089958 + ... + 63862090010.

It is a 1-persistent number, because it is pandigital, but 2⋅3384690769152 = 6769381538304 is not.

Almost surely, 2^{3384690769152} is an apocalyptic number.

3384690769152 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 3384690769152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7015802314752).

3384690769152 is an abundant number, since it is smaller than the sum of its proper divisors (10646913860352).

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

3384690769152 is a wasteful number, since it uses less digits than its factorization.

3384690769152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 3384690769152 in words is "three trillion, three hundred eighty-four billion, six hundred ninety million, seven hundred sixty-nine thousand, one hundred fifty-two".