3307561920 has 504 divisors, whose sum is σ = 12884298336. Its totient is φ = 774107136.

The previous prime is 3307561919. The next prime is 3307561921. The reversal of 3307561920 is 291657033.

3307561920 is a `hidden beast` number, since 3 + 3 + 0 + 7 + 561 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3307561919) and next prime (3307561921).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3307561921) 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 71 ways as a sum of consecutive naturals, for example, 19805677 + ... + 19805843.

It is an arithmetic number, because the mean of its divisors is an integer number (25564084).

Almost surely, 2^3307561920 is an apocalyptic number.

3307561920 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 3307561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6442149168).

3307561920 is an abundant number, since it is smaller than the sum of its proper divisors (9576736416).

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

3307561920 is a wasteful number, since it uses less digits than its factorization.

3307561920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 3307561920 is about 57511.4068685509. The cubic root of 3307561920 is about 1489.9418802308.

The spelling of 3307561920 in words is "three billion, three hundred seven million, five hundred sixty-one thousand, nine hundred twenty".