3337400004 has 48 divisors (see below), whose sum is σ = 8168076672. Its totient is φ = 1058568192.

The previous prime is 3337399997. The next prime is 3337400071. The reversal of 3337400004 is 4000047333.

It is a super-2 number, since 2×3337400004² = 22276477573398400032, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 21942 + ... + 84594.

It is an arithmetic number, because the mean of its divisors is an integer number (170168264).

Almost surely, 2^3337400004 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 3337400004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084038336).

3337400004 is an abundant number, since it is smaller than the sum of its proper divisors (4830676668).

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

3337400004 is a wasteful number, since it uses less digits than its factorization.

3337400004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62876 (or 62874 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 24.

The square root of 3337400004 is about 57770.2345849487. The cubic root of 3337400004 is about 1494.4088152186.

Adding to 3337400004 its reverse (4000047333), we get a palindrome (7337447337).

The spelling of 3337400004 in words is "three billion, three hundred thirty-seven million, four hundred thousand, four".