3406195440 has 120 divisors (see below), whose sum is σ = 11497106400. Its totient is φ = 903716352.

The previous prime is 3406195439. The next prime is 3406195459. The reversal of 3406195440 is 445916043.

3406195440 is a `hidden beast` number, since 34 + 0 + 619 + 5 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 3406195395 and 3406195404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131394 + ... + 155166.

It is an arithmetic number, because the mean of its divisors is an integer number (95809220).

Almost surely, 2^3406195440 is an apocalyptic number.

3406195440 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 3406195440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5748553200).

3406195440 is an abundant number, since it is smaller than the sum of its proper divisors (8090910960).

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

3406195440 is a wasteful number, since it uses less digits than its factorization.

3406195440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23991 (or 23982 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3406195440 is about 58362.6202290473. The cubic root of 3406195440 is about 1504.6073802087.

The spelling of 3406195440 in words is "three billion, four hundred six million, one hundred ninety-five thousand, four hundred forty".