8438426100 has 360 divisors, whose sum is σ = 29737207808. Its totient is φ = 2057529600.

The previous prime is 8438426099. The next prime is 8438426123. The reversal of 8438426100 is 16248348.

8438426100 = T₃₉₉ + T₄₀₀ + ... + T₃₇₀₀.

8438426100 is a `hidden beast` number, since 8 + 4 + 38 + 4 + 2 + 610 + 0 = 666.

It is a super-2 number, since 2×8438426100² (a number of 21 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 119 ways as a sum of consecutive naturals, for example, 13372785 + ... + 13373415.

Almost surely, 2^8438426100 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 8438426100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14868603904).

8438426100 is an abundant number, since it is smaller than the sum of its proper divisors (21298781708).

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

8438426100 is a wasteful number, since it uses less digits than its factorization.

8438426100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8438426100 is about 91860.9062659410. The cubic root of 8438426100 is about 2035.8876933406.

The spelling of 8438426100 in words is "eight billion, four hundred thirty-eight million, four hundred twenty-six thousand, one hundred".