3468842963100 has 144 divisors (see below), whose sum is σ = 11511419888640. Its totient is φ = 895185259200.

The previous prime is 3468842963029. The next prime is 3468842963101. The reversal of 3468842963100 is 13692488643.

3468842963100 is a `hidden beast` number, since 3 + 468 + 84 + 2 + 96 + 3 + 10 + 0 = 666.

It is a super-2 number, since 2×3468842963100² (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 not an unprimeable number, because it can be changed into a prime (3468842963101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20638182 + ... + 20805581.

Almost surely, 2^{3468842963100} is an apocalyptic number.

3468842963100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3468842963100 is an abundant number, since it is smaller than the sum of its proper divisors (8042576925540).

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

3468842963100 is a wasteful number, since it uses less digits than its factorization.

3468842963100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41443817 (or 41443804 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 3468842963100 in words is "three trillion, four hundred sixty-eight billion, eight hundred forty-two million, nine hundred sixty-three thousand, one hundred".