3380667840 has 560 divisors, whose sum is σ = 13383304704. Its totient is φ = 803174400.

The previous prime is 3380667839. The next prime is 3380667883. The reversal of 3380667840 is 487660833.

It is a super-2 number, since 2×3380667840² = 22857830088820531200, 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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20243437 + ... + 20243603.

Almost surely, 2^3380667840 is an apocalyptic number.

3380667840 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 3380667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6691652352).

3380667840 is an abundant number, since it is smaller than the sum of its proper divisors (10002636864).

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

3380667840 is a wasteful number, since it uses less digits than its factorization.

3380667840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3380667840 is about 58143.5107299172. The cubic root of 3380667840 is about 1500.8392103964.

The spelling of 3380667840 in words is "three billion, three hundred eighty million, six hundred sixty-seven thousand, eight hundred forty".