3296880 has 120 divisors (see below), whose sum is σ = 11703120. Its totient is φ = 829440.

The previous prime is 3296863. The next prime is 3296897. The reversal of 3296880 is 886923.

It is an interprime number because it is at equal distance from previous prime (3296863) and next prime (3296897).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (36) 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 (36).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13560 + ... + 13800.

It is an arithmetic number, because the mean of its divisors is an integer number (97526).

Almost surely, 2^3296880 is an apocalyptic number.

3296880 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 3296880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851560).

3296880 is an abundant number, since it is smaller than the sum of its proper divisors (8406240).

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

3296880 is a wasteful number, since it uses less digits than its factorization.

3296880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3296880 is about 1815.7312576480. The cubic root of 3296880 is about 148.8336205681.

The spelling of 3296880 in words is "three million, two hundred ninety-six thousand, eight hundred eighty".