3468892903920 has 640 divisors, whose sum is σ = 12902445262080. Its totient is φ = 864167657472.

The previous prime is 3468892903867. The next prime is 3468892903933. The reversal of 3468892903920 is 293092988643.

3468892903920 is a `hidden beast` number, since 3 + 468 + 89 + 2 + 9 + 0 + 3 + 92 + 0 = 666.

It is a super-3 number, since 3×3468892903920³ (a number of 39 digits) contains 333 as substring.

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 127 ways as a sum of consecutive naturals, for example, 407477584 + ... + 407486096.

It is an arithmetic number, because the mean of its divisors is an integer number (20160070722).

Almost surely, 2^{3468892903920} is an apocalyptic number.

3468892903920 is a gapful number since it is divisible by the number (30) 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 3468892903920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6451222631040).

3468892903920 is an abundant number, since it is smaller than the sum of its proper divisors (9433552358160).

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

3468892903920 is a wasteful number, since it uses less digits than its factorization.

3468892903920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8701 (or 8677 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

It can be divided in two parts, 346889 and 2903920, that added together give a square (3250809 = 1803²).

The spelling of 3468892903920 in words is "three trillion, four hundred sixty-eight billion, eight hundred ninety-two million, nine hundred three thousand, nine hundred twenty".