3955126140 has 432 divisors, whose sum is σ = 14787864000. Its totient is φ = 854284032.

The previous prime is 3955126121. The next prime is 3955126159. The reversal of 3955126140 is 416215593.

3955126140 is a `hidden beast` number, since 3 + 9 + 551 + 2 + 61 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3955126121) and next prime (3955126159).

It is a super-2 number, since 2×3955126140² = 31286045566622599200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3955126095 and 3955126104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84151597 + ... + 84151643.

Almost surely, 2^3955126140 is an apocalyptic number.

3955126140 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 3955126140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7393932000).

3955126140 is an abundant number, since it is smaller than the sum of its proper divisors (10832737860).

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

3955126140 is a wasteful number, since it uses less digits than its factorization.

3955126140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 3955126140 is about 62889.7936075481. The cubic root of 3955126140 is about 1581.4426470071.

The spelling of 3955126140 in words is "three billion, nine hundred fifty-five million, one hundred twenty-six thousand, one hundred forty".