3404824727040 has 1280 divisors, whose sum is σ = 13671307837440. Its totient is φ = 795943895040.

The previous prime is 3404824726991. The next prime is 3404824727047. The reversal of 3404824727040 is 407274284043.

3404824727040 is a `hidden beast` number, since 34 + 0 + 4 + 82 + 472 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404824727047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3572743204 + ... + 3572744156.

It is an arithmetic number, because the mean of its divisors is an integer number (10680709248).

Almost surely, 2^{3404824727040} is an apocalyptic number.

3404824727040 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 3404824727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6835653918720).

3404824727040 is an abundant number, since it is smaller than the sum of its proper divisors (10266483110400).

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

3404824727040 is a wasteful number, since it uses less digits than its factorization.

3404824727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 45.

The spelling of 3404824727040 in words is "three trillion, four hundred four billion, eight hundred twenty-four million, seven hundred twenty-seven thousand, forty".