3234667855104 has 864 divisors, whose sum is σ = 11852371104000. Its totient is φ = 869642403840.

The previous prime is 3234667855093. The next prime is 3234667855147. The reversal of 3234667855104 is 4015587664323.

3234667855104 is a `hidden beast` number, since 3 + 2 + 3 + 46 + 6 + 7 + 85 + 510 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×3234667855104² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 685163464 + ... + 685168184.

Almost surely, 2^{3234667855104} is an apocalyptic number.

3234667855104 is a gapful number since it is divisible by the number (34) 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 3234667855104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5926185552000).

3234667855104 is an abundant number, since it is smaller than the sum of its proper divisors (8617703248896).

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

3234667855104 is an equidigital number, since it uses as much as digits as its factorization.

3234667855104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4801 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 3234667855104 in words is "three trillion, two hundred thirty-four billion, six hundred sixty-seven million, eight hundred fifty-five thousand, one hundred four".