3437688068100 has 1152 divisors, whose sum is σ = 13275210332160. Its totient is φ = 752156928000.

The previous prime is 3437688068093. The next prime is 3437688068117. The reversal of 3437688068100 is 18608867343.

3437688068100 is a `hidden beast` number, since 3 + 437 + 68 + 80 + 68 + 10 + 0 = 666.

It is a super-2 number, since 2×3437688068100² (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 an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5346326379 + ... + 5346327021.

It is an arithmetic number, because the mean of its divisors is an integer number (11523620080).

Almost surely, 2^{3437688068100} is an apocalyptic number.

3437688068100 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 3437688068100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6637605166080).

3437688068100 is an abundant number, since it is smaller than the sum of its proper divisors (9837522264060).

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

3437688068100 is a wasteful number, since it uses less digits than its factorization.

3437688068100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 3437688068100 in words is "three trillion, four hundred thirty-seven billion, six hundred eighty-eight million, sixty-eight thousand, one hundred".