3468730188000 has 1536 divisors, whose sum is σ = 15089769676800. Its totient is φ = 689230080000.

The previous prime is 3468730187999. The next prime is 3468730188019. The reversal of 3468730188000 is 8810378643.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 255 ways as a sum of consecutive naturals, for example, 1041346335 + ... + 1041349665.

It is an arithmetic number, because the mean of its divisors is an integer number (9824068800).

Almost surely, 2^{3468730188000} is an apocalyptic number.

3468730188000 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 3468730188000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7544884838400).

3468730188000 is an abundant number, since it is smaller than the sum of its proper divisors (11621039488800).

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

3468730188000 is a wasteful number, since it uses less digits than its factorization.

3468730188000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 3468730188000 in words is "three trillion, four hundred sixty-eight billion, seven hundred thirty million, one hundred eighty-eight thousand".