3357728640 has 640 divisors, whose sum is σ = 14454950400. Its totient is φ = 725594112.

The previous prime is 3357728611. The next prime is 3357728641. The reversal of 3357728640 is 468277533.

3357728640 is a `hidden beast` number, since 33 + 577 + 2 + 8 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×3357728640² = 22548683239752499200, 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 not an unprimeable number, because it can be changed into a prime (3357728641) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 6894477 + ... + 6894963.

It is an arithmetic number, because the mean of its divisors is an integer number (22585860).

Almost surely, 2^3357728640 is an apocalyptic number.

3357728640 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 3357728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7227475200).

3357728640 is an abundant number, since it is smaller than the sum of its proper divisors (11097221760).

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

3357728640 is a wasteful number, since it uses less digits than its factorization.

3357728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 3357728640 is about 57945.9113311716. The cubic root of 3357728640 is about 1497.4369028499.

The spelling of 3357728640 in words is "three billion, three hundred fifty-seven million, seven hundred twenty-eight thousand, six hundred forty".