3370380 has 96 divisors (see below), whose sum is σ = 10584000. Its totient is φ = 795648.

The previous prime is 3370363. The next prime is 3370387. The reversal of 3370380 is 830733.

3370380 = 126² + 127² + ... + 229².

It is a super-2 number, since 2×3370380² = 22718922688800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3370380.

It is not an unprimeable number, because it can be changed into a prime (3370387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22546 + ... + 22694.

It is an arithmetic number, because the mean of its divisors is an integer number (110250).

Almost surely, 2^3370380 is an apocalyptic number.

3370380 is a gapful number since it is divisible by the number (30) 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 3370380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5292000).

3370380 is an abundant number, since it is smaller than the sum of its proper divisors (7213620).

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

3370380 is a wasteful number, since it uses less digits than its factorization.

3370380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 3370380 is about 1835.8594717461. The cubic root of 3370380 is about 149.9315243008.

The spelling of 3370380 in words is "three million, three hundred seventy thousand, three hundred eighty".