3362768640 has 864 divisors, whose sum is σ = 15427915776. Its totient is φ = 654704640.

The previous prime is 3362768597. The next prime is 3362768653. The reversal of 3362768640 is 468672633.

3362768640 is a `hidden beast` number, since 336 + 276 + 8 + 6 + 40 = 666.

It is a super-2 number, since 2×3362768640² = 22616425852334899200, 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 95 ways as a sum of consecutive naturals, for example, 15079569 + ... + 15079791.

It is an arithmetic number, because the mean of its divisors is an integer number (17856384).

Almost surely, 2^3362768640 is an apocalyptic number.

3362768640 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 3362768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7713957888).

3362768640 is an abundant number, since it is smaller than the sum of its proper divisors (12065147136).

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

3362768640 is a wasteful number, since it uses less digits than its factorization.

3362768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3362768640 is about 57989.3838560128. The cubic root of 3362768640 is about 1498.1857532238.

The spelling of 3362768640 in words is "three billion, three hundred sixty-two million, seven hundred sixty-eight thousand, six hundred forty".