3280979520 has 840 divisors, whose sum is σ = 14578242624. Its totient is φ = 685780992.

The previous prime is 3280979503. The next prime is 3280979539. The reversal of 3280979520 is 259790823.

3280979520 is a `hidden beast` number, since 32 + 8 + 0 + 97 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×3280979520² = 21529653221318860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30663307 + ... + 30663413.

Almost surely, 2^3280979520 is an apocalyptic number.

3280979520 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 3280979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7289121312).

3280979520 is an abundant number, since it is smaller than the sum of its proper divisors (11297263104).

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

3280979520 is a wasteful number, since it uses less digits than its factorization.

3280979520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3280979520 is about 57279.8351952936. The cubic root of 3280979520 is about 1485.9396562876.

The spelling of 3280979520 in words is "three billion, two hundred eighty million, nine hundred seventy-nine thousand, five hundred twenty".