3369936960 has 560 divisors, whose sum is σ = 13181935536. Its totient is φ = 812187648.

The previous prime is 3369936943. The next prime is 3369937003. The reversal of 3369936960 is 696399633.

It can be written as a sum of positive squares in 8 ways, for example, as 118200384 + 3251736576 = 10872^2 + 57024^2 .

It is a super-2 number, since 2×3369936960² = 22712950228748083200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 3369936897 and 3369936906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24598012 + ... + 24598148.

Almost surely, 2^3369936960 is an apocalyptic number.

3369936960 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 3369936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6590967768).

3369936960 is an abundant number, since it is smaller than the sum of its proper divisors (9811998576).

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

3369936960 is a wasteful number, since it uses less digits than its factorization.

3369936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 4251528, while the sum is 54.

The square root of 3369936960 is about 58051.1581279823. The cubic root of 3369936960 is about 1499.2495446071.

It can be divided in two parts, 3369936 and 960, that added together give a square (3370896 = 1836²).

The spelling of 3369936960 in words is "three billion, three hundred sixty-nine million, nine hundred thirty-six thousand, nine hundred sixty".