3334106400632 has 128 divisors (see below), whose sum is σ = 7448613120000. Its totient is φ = 1397903391360.

The previous prime is 3334106400613. The next prime is 3334106400659. The reversal of 3334106400632 is 2360046014333.

It is a super-2 number, since 2×3334106400632² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3334106400592 and 3334106400601.

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 31 ways as a sum of consecutive naturals, for example, 434747294 + ... + 434754962.

It is an arithmetic number, because the mean of its divisors is an integer number (58192290000).

Almost surely, 2^{3334106400632} 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 3334106400632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3724306560000).

3334106400632 is an abundant number, since it is smaller than the sum of its proper divisors (4114506719368).

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

3334106400632 is a wasteful number, since it uses less digits than its factorization.

3334106400632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11114 (or 11096 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 35.

The spelling of 3334106400632 in words is "three trillion, three hundred thirty-four billion, one hundred six million, four hundred thousand, six hundred thirty-two".