3390689280 has 416 divisors, whose sum is σ = 12314021760. Its totient is φ = 789053440.

The previous prime is 3390689261. The next prime is 3390689293. The reversal of 3390689280 is 829860933.

It is a super-2 number, since 2×3390689280² = 22993547587013836800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 19599274 + ... + 19599446.

Almost surely, 2^3390689280 is an apocalyptic number.

3390689280 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 3390689280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6157010880).

3390689280 is an abundant number, since it is smaller than the sum of its proper divisors (8923332480).

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

3390689280 is a wasteful number, since it uses less digits than its factorization.

3390689280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 3390689280 is about 58229.6254495940. The cubic root of 3390689280 is about 1502.3207453534.

The spelling of 3390689280 in words is "three billion, three hundred ninety million, six hundred eighty-nine thousand, two hundred eighty".