3379553280 has 440 divisors, whose sum is σ = 12572592120. Its totient is φ = 867041280.

The previous prime is 3379553279. The next prime is 3379553299. The reversal of 3379553280 is 823559733.

3379553280 is a `hidden beast` number, since 3 + 3 + 79 + 553 + 28 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 571401216 + 2808152064 = 23904^2 + 52992^2 .

It is a super-2 number, since 2×3379553280² = 22842760744717516800, 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 39 ways as a sum of consecutive naturals, for example, 12026740 + ... + 12027020.

It is an arithmetic number, because the mean of its divisors is an integer number (28574073).

Almost surely, 2^3379553280 is an apocalyptic number.

3379553280 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 3379553280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286296060).

3379553280 is an abundant number, since it is smaller than the sum of its proper divisors (9193038840).

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

3379553280 is a wasteful number, since it uses less digits than its factorization.

3379553280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 3379553280 is about 58133.9253792482. The cubic root of 3379553280 is about 1500.6742568730.

The spelling of 3379553280 in words is "three billion, three hundred seventy-nine million, five hundred fifty-three thousand, two hundred eighty".