3337145000 has 240 divisors, whose sum is σ = 9303162660. Its totient is φ = 1118208000.

The previous prime is 3337144991. The next prime is 3337145017. The reversal of 3337145000 is 5417333.

It can be written as a sum of positive squares in 10 ways, for example, as 85636516 + 3251508484 = 9254^2 + 57022^2 .

It is a super-2 number, since 2×3337145000² = 22273073502050000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12984872 + ... + 12985128.

Almost surely, 2^3337145000 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 3337145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651581330).

3337145000 is an abundant number, since it is smaller than the sum of its proper divisors (5966017660).

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

3337145000 is a wasteful number, since it uses less digits than its factorization.

3337145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 3337145000 is about 57768.0274892609. The cubic root of 3337145000 is about 1494.3707526617.

The spelling of 3337145000 in words is "three billion, three hundred thirty-seven million, one hundred forty-five thousand".