3433952890368 has 2520 divisors, whose sum is σ = 14275888880616. Its totient is φ = 815173632000.

The previous prime is 3433952890327. The next prime is 3433952890397. The reversal of 3433952890368 is 8630982593343.

3433952890368 is a `hidden beast` number, since 3 + 43 + 3 + 9 + 528 + 9 + 0 + 3 + 68 = 666.

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

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 251 ways as a sum of consecutive naturals, for example, 33999533518 + ... + 33999533618.

Almost surely, 2^{3433952890368} 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 3433952890368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7137944440308).

3433952890368 is an abundant number, since it is smaller than the sum of its proper divisors (10841935990248).

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

3433952890368 is a wasteful number, since it uses less digits than its factorization.

3433952890368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 3433952890368 in words is "three trillion, four hundred thirty-three billion, nine hundred fifty-two million, eight hundred ninety thousand, three hundred sixty-eight".