3402137382 has 64 divisors (see below), whose sum is σ = 8003888640. Its totient is φ = 943858944.

The previous prime is 3402137353. The next prime is 3402137411. The reversal of 3402137382 is 2837312043.

It is an interprime number because it is at equal distance from previous prime (3402137353) and next prime (3402137411).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 306994 + ... + 317882.

It is an arithmetic number, because the mean of its divisors is an integer number (125060760).

Almost surely, 2^3402137382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3402137382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4001944320).

3402137382 is an abundant number, since it is smaller than the sum of its proper divisors (4601751258).

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

3402137382 is a wasteful number, since it uses less digits than its factorization.

3402137382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11117.

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 3402137382 is about 58327.8439683827. The cubic root of 3402137382 is about 1504.0096252756.

The spelling of 3402137382 in words is "three billion, four hundred two million, one hundred thirty-seven thousand, three hundred eighty-two".