3346880880 has 320 divisors, whose sum is σ = 12712900608. Its totient is φ = 711659520.

The previous prime is 3346880851. The next prime is 3346880891. The reversal of 3346880880 is 880886433.

It is a happy number.

It is a super-2 number, since 2×3346880880² = 22403223249819148800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1428510 + ... + 1430850.

Almost surely, 2^3346880880 is an apocalyptic number.

3346880880 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 3346880880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6356450304).

3346880880 is an abundant number, since it is smaller than the sum of its proper divisors (9366019728).

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

3346880880 is a wasteful number, since it uses less digits than its factorization.

3346880880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 3346880880 is about 57852.2331461803. The cubic root of 3346880880 is about 1495.8225813600.

The spelling of 3346880880 in words is "three billion, three hundred forty-six million, eight hundred eighty thousand, eight hundred eighty".