3467826084100 has 243 divisors, whose sum is σ = 9009297178623. Its totient is φ = 1155225697920.

The previous prime is 3467826084029. The next prime is 3467826084109. The reversal of 3467826084100 is 14806287643.

The square root of 3467826084100 is 1862210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 329202832644 + 3138623251456 = 573762^2 + 1771616^2 .

It is a super-3 number, since 3×3467826084100³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (3467826084109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4823123541 + ... + 4823124259.

Almost surely, 2^{3467826084100} is an apocalyptic number.

3467826084100 is the 1862210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3467826084100

3467826084100 is an abundant number, since it is smaller than the sum of its proper divisors (5541471094523).

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

3467826084100 is an equidigital number, since it uses as much as digits as its factorization.

3467826084100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

Multiplying 3467826084100 by its sum of digits (49), we get a square (169923478120900 = 13035470²).

3467826084100 divided by its sum of digits (49) gives a square (70771960900 = 266030²).

The spelling of 3467826084100 in words is "three trillion, four hundred sixty-seven billion, eight hundred twenty-six million, eighty-four thousand, one hundred".