3370213008 has 400 divisors, whose sum is σ = 11116163520. Its totient is φ = 979402752.

The previous prime is 3370212983. The next prime is 3370213013. The reversal of 3370213008 is 8003120733.

3370213008 is a `hidden beast` number, since 337 + 0 + 21 + 300 + 8 = 666.

It is a super-2 number, since 2×3370213008² = 22716671438584816128, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34744416 + ... + 34744512.

Almost surely, 2^3370213008 is an apocalyptic number.

3370213008 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3370213008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5558081760).

3370213008 is an abundant number, since it is smaller than the sum of its proper divisors (7745950512).

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

3370213008 is a wasteful number, since it uses less digits than its factorization.

3370213008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3370213008 is about 58053.5357062772. The cubic root of 3370213008 is about 1499.2904804409.

The spelling of 3370213008 in words is "three billion, three hundred seventy million, two hundred thirteen thousand, eight".