3428604251100 has 216 divisors, whose sum is σ = 12293122252320. Its totient is φ = 782972720640.

The previous prime is 3428604251071. The next prime is 3428604251129. The reversal of 3428604251100 is 11524068243.

It is a happy number.

3428604251100 is a `hidden beast` number, since 3 + 4 + 28 + 604 + 25 + 1 + 1 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3428604251071) and next prime (3428604251129).

It is a super-2 number, since 2×3428604251100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6741334 + ... + 7232066.

It is an arithmetic number, because the mean of its divisors is an integer number (56912603020).

Almost surely, 2^{3428604251100} is an apocalyptic number.

3428604251100 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 3428604251100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6146561126160).

3428604251100 is an abundant number, since it is smaller than the sum of its proper divisors (8864518001220).

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

3428604251100 is a wasteful number, since it uses less digits than its factorization.

3428604251100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491869 (or 491859 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 3428604251100 in words is "three trillion, four hundred twenty-eight billion, six hundred four million, two hundred fifty-one thousand, one hundred".