3401040000 has 320 divisors, whose sum is σ = 11624279040. Its totient is φ = 880128000.

The previous prime is 3401039951. The next prime is 3401040001. The reversal of 3401040000 is 401043.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3401040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8879809 + ... + 8880191.

It is an arithmetic number, because the mean of its divisors is an integer number (36325872).

Almost surely, 2^3401040000 is an apocalyptic number.

3401040000 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 3401040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5812139520).

3401040000 is an abundant number, since it is smaller than the sum of its proper divisors (8223239040).

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

3401040000 is an equidigital number, since it uses as much as digits as its factorization.

3401040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3401040000 is about 58318.4361930256. The cubic root of 3401040000 is about 1503.8478984556.

Adding to 3401040000 its reverse (401043), we get a palindrome (3401441043).

The spelling of 3401040000 in words is "three billion, four hundred one million, forty thousand".