3337223004 has 144 divisors (see below), whose sum is σ = 9282873600. Its totient is φ = 1045374336.

The previous prime is 3337222979. The next prime is 3337223009. The reversal of 3337223004 is 4003227333.

It is a happy number.

3337223004 is a `hidden beast` number, since 3 + 337 + 22 + 300 + 4 = 666.

It is a super-2 number, since 2×3337223004² = 22274114756853568032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3337223009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2529457 + ... + 2530775.

It is an arithmetic number, because the mean of its divisors is an integer number (64464400).

Almost surely, 2^3337223004 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 3337223004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4641436800).

3337223004 is an abundant number, since it is smaller than the sum of its proper divisors (5945650596).

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

3337223004 is a wasteful number, since it uses less digits than its factorization.

3337223004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 27.

The square root of 3337223004 is about 57768.7026338657. The cubic root of 3337223004 is about 1494.3823959465.

The spelling of 3337223004 in words is "three billion, three hundred thirty-seven million, two hundred twenty-three thousand, four".