3360356640 has 288 divisors, whose sum is σ = 11762150400. Its totient is φ = 873400320.

The previous prime is 3360356633. The next prime is 3360356651. The reversal of 3360356640 is 466530633.

It is a happy number.

3360356640 is a `hidden beast` number, since 3 + 3 + 6 + 0 + 3 + 5 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3360356640² = 22583993495984179200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3360356595 and 3360356604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12399705 + ... + 12399975.

It is an arithmetic number, because the mean of its divisors is an integer number (40840800).

Almost surely, 2^3360356640 is an apocalyptic number.

3360356640 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 3360356640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881075200).

3360356640 is an abundant number, since it is smaller than the sum of its proper divisors (8401793760).

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

3360356640 is a wasteful number, since it uses less digits than its factorization.

3360356640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 3360356640 is about 57968.5832153935. The cubic root of 3360356640 is about 1497.8274682563.

It can be divided in two parts, 3360 and 356640, that added together give a square (360000 = 600²).

The spelling of 3360356640 in words is "three billion, three hundred sixty million, three hundred fifty-six thousand, six hundred forty".