3404526351400 has 96 divisors (see below), whose sum is σ = 8046543526200. Its totient is φ = 1339276492800.

The previous prime is 3404526351377. The next prime is 3404526351433. The reversal of 3404526351400 is 41536254043.

It can be written as a sum of positive squares in 12 ways, for example, as 232615219204 + 3171911132196 = 482302^2 + 1780986^2 .

It is a super-3 number, since 3×3404526351400³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3404526351400.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 95056696 + ... + 95092504.

Almost surely, 2^{3404526351400} 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 3404526351400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023271763100).

3404526351400 is an abundant number, since it is smaller than the sum of its proper divisors (4642017174800).

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

3404526351400 is a wasteful number, since it uses less digits than its factorization.

3404526351400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43679 (or 43670 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 3404526351400 in words is "three trillion, four hundred four billion, five hundred twenty-six million, three hundred fifty-one thousand, four hundred".