34056441626100 has 144 divisors (see below), whose sum is σ = 99660248002560. Its totient is φ = 8978742691200.

The previous prime is 34056441626021. The next prime is 34056441626159. The reversal of 34056441626100 is 162614465043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7516731 + ... + 11163069.

Almost surely, 2^{34056441626100} is an apocalyptic number.

34056441626100 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 34056441626100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49830124001280).

34056441626100 is an abundant number, since it is smaller than the sum of its proper divisors (65603806376460).

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

34056441626100 is a wasteful number, since it uses less digits than its factorization.

34056441626100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3646710 (or 3646703 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 34056441626100 in words is "thirty-four trillion, fifty-six billion, four hundred forty-one million, six hundred twenty-six thousand, one hundred".