3380736000 has 416 divisors, whose sum is σ = 11776167936. Its totient is φ = 860160000.

The previous prime is 3380735999. The next prime is 3380736001. The reversal of 3380736000 is 6370833.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3380735999) and next prime (3380736001).

It is a super-2 number, since 2×3380736000² = 22858751803392000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3380736001) 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, 47615965 + ... + 47616035.

It is an arithmetic number, because the mean of its divisors is an integer number (28308096).

Almost surely, 2^3380736000 is an apocalyptic number.

3380736000 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 3380736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888083968).

3380736000 is an abundant number, since it is smaller than the sum of its proper divisors (8395431936).

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

3380736000 is an equidigital number, since it uses as much as digits as its factorization.

3380736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 3380736000 is about 58144.0968628802. The cubic root of 3380736000 is about 1500.8492968170.

The spelling of 3380736000 in words is "three billion, three hundred eighty million, seven hundred thirty-six thousand".