3301781616 has 400 divisors, whose sum is σ = 11753533440. Its totient is φ = 873400320.

The previous prime is 3301781551. The next prime is 3301781663. The reversal of 3301781616 is 6161871033.

3301781616 is a `hidden beast` number, since 3 + 30 + 1 + 7 + 8 + 1 + 616 = 666.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 12183561 + ... + 12183831.

Almost surely, 2^3301781616 is an apocalyptic number.

3301781616 is a gapful number since it is divisible by the number (36) 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 3301781616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5876766720).

3301781616 is an abundant number, since it is smaller than the sum of its proper divisors (8451751824).

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

3301781616 is a wasteful number, since it uses less digits than its factorization.

3301781616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3301781616 is about 57461.1313498090. The cubic root of 3301781616 is about 1489.0734320037.

The spelling of 3301781616 in words is "three billion, three hundred one million, seven hundred eighty-one thousand, six hundred sixteen".