3404151862020 has 432 divisors, whose sum is σ = 12956945077440. Its totient is φ = 717063363072.

The previous prime is 3404151861947. The next prime is 3404151862051. The reversal of 3404151862020 is 202681514043.

It is a happy number.

3404151862020 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 1 + 5 + 1 + 8 + 620 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70950559 + ... + 70998521.

It is an arithmetic number, because the mean of its divisors is an integer number (29992928420).

Almost surely, 2^{3404151862020} is an apocalyptic number.

3404151862020 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 3404151862020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6478472538720).

3404151862020 is an abundant number, since it is smaller than the sum of its proper divisors (9552793215420).

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

3404151862020 is a wasteful number, since it uses less digits than its factorization.

3404151862020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48624 (or 48612 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 3404151862020 in words is "three trillion, four hundred four billion, one hundred fifty-one million, eight hundred sixty-two thousand, twenty".