3380797440 has 280 divisors, whose sum is σ = 12131939160. Its totient is φ = 900661248.

The previous prime is 3380797423. The next prime is 3380797447. The reversal of 3380797440 is 447970833.

It is a happy number.

It is a super-2 number, since 2×3380797440² = 22859582660621107200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3380797447) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3317251 + ... + 3318269.

Almost surely, 2^3380797440 is an apocalyptic number.

3380797440 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 3380797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065969580).

3380797440 is an abundant number, since it is smaller than the sum of its proper divisors (8751141720).

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

3380797440 is an equidigital number, since it uses as much as digits as its factorization.

3380797440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3380797440 is about 58144.6252030228. The cubic root of 3380797440 is about 1500.8583886855.

The spelling of 3380797440 in words is "three billion, three hundred eighty million, seven hundred ninety-seven thousand, four hundred forty".