3961109880 has 576 divisors, whose sum is σ = 16279211520. Its totient is φ = 817689600.

The previous prime is 3961109869. The next prime is 3961109891. The reversal of 3961109880 is 889011693.

It is an interprime number because it is at equal distance from previous prime (3961109869) and next prime (3961109891).

It is a super-2 number, since 2×3961109880² = 31380782962867228800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30237415 + ... + 30237545.

It is an arithmetic number, because the mean of its divisors is an integer number (28262520).

Almost surely, 2^3961109880 is an apocalyptic number.

3961109880 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 3961109880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8139605760).

3961109880 is an abundant number, since it is smaller than the sum of its proper divisors (12318101640).

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

3961109880 is a wasteful number, since it uses less digits than its factorization.

3961109880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 3961109880 is about 62937.3488478820. The cubic root of 3961109880 is about 1582.2397706311.

The spelling of 3961109880 in words is "three billion, nine hundred sixty-one million, one hundred nine thousand, eight hundred eighty".