3402640000 has 80 divisors (see below), whose sum is σ = 8470858770. Its totient is φ = 1361024000.

The previous prime is 3402639983. The next prime is 3402640019. The reversal of 3402640000 is 462043.

It can be written as a sum of positive squares in 5 ways, for example, as 484416 + 3402155584 = 696^2 + 58328^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 3402640000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 58734 + ... + 101266.

Almost surely, 2^3402640000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3402640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4235429385).

3402640000 is an abundant number, since it is smaller than the sum of its proper divisors (5068218770).

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

3402640000 is an frugal number, since it uses more digits than its factorization.

3402640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42567 (or 42540 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3402640000 is about 58332.1523689980. The cubic root of 3402640000 is about 1504.0836870590.

The spelling of 3402640000 in words is "three billion, four hundred two million, six hundred forty thousand".