3955167090 has 256 divisors, whose sum is σ = 12645642240. Its totient is φ = 860751360.

The previous prime is 3955167067. The next prime is 3955167107. The reversal of 3955167090 is 907615593.

3955167090 is a `hidden beast` number, since 3 + 9 + 551 + 6 + 7 + 0 + 90 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3331477 + ... + 3332663.

It is an arithmetic number, because the mean of its divisors is an integer number (49397040).

Almost surely, 2^3955167090 is an apocalyptic number.

3955167090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3955167090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6322821120).

3955167090 is an abundant number, since it is smaller than the sum of its proper divisors (8690475150).

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

3955167090 is a wasteful number, since it uses less digits than its factorization.

3955167090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 3955167090 is about 62890.1191762267. The cubic root of 3955167090 is about 1581.4481048906.

The spelling of 3955167090 in words is "three billion, nine hundred fifty-five million, one hundred sixty-seven thousand, ninety".