3371397200 has 120 divisors (see below), whose sum is σ = 8341533816. Its totient is φ = 1308672000.

The previous prime is 3371397199. The next prime is 3371397217. The reversal of 3371397200 is 27931733.

It can be written as a sum of positive squares in 12 ways, for example, as 2249415184 + 1121982016 = 47428^2 + 33496^2 .

It is a super-2 number, since 2×3371397200² = 22732638160335680000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3951974 + ... + 3952826.

Almost surely, 2^3371397200 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 3371397200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170766908).

3371397200 is an abundant number, since it is smaller than the sum of its proper divisors (4970136616).

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

3371397200 is a wasteful number, since it uses less digits than its factorization.

3371397200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 35.

The square root of 3371397200 is about 58063.7339481367. The cubic root of 3371397200 is about 1499.4660618144.

The spelling of 3371397200 in words is "three billion, three hundred seventy-one million, three hundred ninety-seven thousand, two hundred".