3401999520 has 192 divisors, whose sum is σ = 11180768256. Its totient is φ = 868515840.

The previous prime is 3401999507. The next prime is 3401999527. The reversal of 3401999520 is 259991043.

It is not an unprimeable number, because it can be changed into a prime (3401999527) 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 31 ways as a sum of consecutive naturals, for example, 1442182 + ... + 1444538.

It is an arithmetic number, because the mean of its divisors is an integer number (58233168).

Almost surely, 2^3401999520 is an apocalyptic number.

3401999520 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 3401999520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5590384128).

3401999520 is an abundant number, since it is smaller than the sum of its proper divisors (7778768736).

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

3401999520 is a wasteful number, since it uses less digits than its factorization.

3401999520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 3401999520 is about 58326.6621709146. The cubic root of 3401999520 is about 1503.9893097550.

The spelling of 3401999520 in words is "three billion, four hundred one million, nine hundred ninety-nine thousand, five hundred twenty".