1961346100 has 144 divisors (see below), whose sum is σ = 5271412608. Its totient is φ = 618024960.

The previous prime is 1961346077. The next prime is 1961346113. The reversal of 1961346100 is 16431691.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509784 + ... + 513616.

It is an arithmetic number, because the mean of its divisors is an integer number (36607032).

Almost surely, 2^1961346100 is an apocalyptic number.

1961346100 is a gapful number since it is divisible by the number (10) 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 1961346100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635706304).

1961346100 is an abundant number, since it is smaller than the sum of its proper divisors (3310066508).

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

1961346100 is a wasteful number, since it uses less digits than its factorization.

1961346100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3914 (or 3907 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 1961346100 is about 44287.0872828638. The cubic root of 1961346100 is about 1251.7513796561.

Adding to 1961346100 its reverse (16431691), we get a palindrome (1977777791).

The spelling of 1961346100 in words is "one billion, nine hundred sixty-one million, three hundred forty-six thousand, one hundred".