3337964742 has 64 divisors (see below), whose sum is σ = 7887974400. Its totient is φ = 921507840.

The previous prime is 3337964717. The next prime is 3337964761. The reversal of 3337964742 is 2474697333.

It is a super-2 number, since 2×3337964742² = 22284017237670253128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3337964691 and 3337964700.

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, 1051734 + ... + 1054902.

It is an arithmetic number, because the mean of its divisors is an integer number (123249600).

Almost surely, 2^3337964742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3337964742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943987200).

3337964742 is an abundant number, since it is smaller than the sum of its proper divisors (4550009658).

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

3337964742 is a wasteful number, since it uses less digits than its factorization.

3337964742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4021.

The product of its digits is 2286144, while the sum is 48.

The square root of 3337964742 is about 57775.1221720906. The cubic root of 3337964742 is about 1494.4931025726.

The spelling of 3337964742 in words is "three billion, three hundred thirty-seven million, nine hundred sixty-four thousand, seven hundred forty-two".