3363576840 has 448 divisors, whose sum is σ = 12890404800. Its totient is φ = 782701056.

The previous prime is 3363576817. The next prime is 3363576847. The reversal of 3363576840 is 486753633.

3363576840 is a `hidden beast` number, since 3 + 3 + 635 + 7 + 6 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×3363576840² = 22627298317168771200, 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 (3363576847) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7202287 + ... + 7202753.

It is an arithmetic number, because the mean of its divisors is an integer number (28773225).

Almost surely, 2^3363576840 is an apocalyptic number.

3363576840 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 3363576840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6445202400).

3363576840 is an abundant number, since it is smaller than the sum of its proper divisors (9526827960).

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

3363576840 is a wasteful number, since it uses less digits than its factorization.

3363576840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 3363576840 is about 57996.3519542393. The cubic root of 3363576840 is about 1498.3057671037.

The spelling of 3363576840 in words is "three billion, three hundred sixty-three million, five hundred seventy-six thousand, eight hundred forty".