1961338368 has 240 divisors, whose sum is σ = 5871217968. Its totient is φ = 581222400.

The previous prime is 1961338319. The next prime is 1961338391. The reversal of 1961338368 is 8638331691.

It is a happy number.

It is a Cunningham number, because it is equal to 44287²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11337130 + ... + 11337302.

Almost surely, 2^1961338368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1961338368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935608984).

1961338368 is an abundant number, since it is smaller than the sum of its proper divisors (3909879600).

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

1961338368 is a wasteful number, since it uses less digits than its factorization.

1961338368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 250 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 1961338368 is about 44286.9999887100. Note that the first 4 decimals coincide. The cubic root of 1961338368 is about 1251.7497347731.

The spelling of 1961338368 in words is "one billion, nine hundred sixty-one million, three hundred thirty-eight thousand, three hundred sixty-eight".